Is my father okay?

I don't see where your trying to run his life I see a concerned daughter and rightfully so. Lea has given the best answer here, it could be diabetes. That also can be causing his dementia like symtoms.

I would wonder if his employer has noticed things too. Maybe his work is not up to par. Can u talk to them and ask if its possible for them to recommend he see a doctor. There is something going on and the longer he goes the longer the diabetes has to damage his organs.

"Acetone is a type of ketone, and it is the same fruity-smelling substance found in some nail polish removers. If the breath of a person with diabetes smells of acetone, this suggests that there are high levels of ketones in their blood. As the ketones build up, they increase the acidity of the blood. This can be toxic."

If your father is not eating but once in awhile, his body is burning fat for fuel instead of carbohydrates and that's why he is in ketosis, smelling like he is, and likely to test positive for ketones in his urine. That's also why he's very cold all the time. Diabetes is not the only reason for ketosis...it occurs in people who are basically starving themselves or eating very low calories or only protein.

I dated a guy after my divorce for awhile who always had a stomach ache, always held his gut, never could eat much of anything. He was very thin to the point of being skin and bones as a result. He turned out to have stomach cancer and many tumors in his body from Agent Orange exposure our government sprayed to kill the vegetation in Viet Nam.

Nobody here can diagnose your father or tell you if he's okay, but it does not sound like he's okay. He desperately needs a full physical examination by his doctor or a trip to the ER stat. The ER can conduct a bunch of tests and scans all in one place to determine what's going on with him.

Sending you a hug and a prayer for good results.

Your father is only 63 years old and should be able to work if he wants to as he's technically too young to retire.
I'm not sure how "he's constantly hurting himself everyday" by working, and if things are as bad as you make them out to be I find it hard to believe that any employer would put up with someone who hurts themselves all the time, has a poor memory and smells bad.
But bottom line your father is a grown ass man, and he can basically live the way he wants to. You are NOT responsible for him in any way, but if it makes you feel better call Adult Protective Services first thing Monday morning and report him as a vulnerable adult living by himself and who you believe is in poor health.
They will come out and access the situation and take things from there.
Wishing you the best in getting things figured out with your father.

From your profile:

"I am caring for my father David , who is 63 years old, living in independent living with alzheimer's / dementia, cancer, depression, and mobility problems."

You list ALZ/dementia and cancer... are these actual diagnosed health issues or are you thinking these may be his problem?

Are you his PoA? If not, is anyone? Forgetfulness and seeming dementia-like symptoms can be caused by other health issues, some of which are treatable.

If you can't encourage him to get care for himself, the option is to contact a social worker to get him an in-home assessment or to get him on APS's radar. But he has to cooperate. If he resists everything, then you will need to wait for him to have a health emergency which requires him to go to the ER. Once there, be sure to tell them he is an unsafe discharge. That's about as much as you can do, if you want to.

FYI you can't "send him to a home" if he has legal cognitive capacity and resists it, and even if you were his PoA it is very difficult to get an uncooperative adult to do something they don't want to.

One step at a time, don't worry about funds and a home.

Take one step first

If he refuses to go to the doctors, the first thing I would do is go to the drug store , by a cheep kit to test his blood sugar at home.

That would let you know the one problem.

I actually did this to my x husband his blood sugar was over 300.

You want it maybe around 100, but Alva will know more. Or the Internet

You can also buy a BP cuff with at the drug store

You can also get a thing to test his oxygen level.

But he really needs to go to the doctors, asap but I'm sure you know that

It could be something very serious, but like I said first thing first, it could also be something treatable

Best of luck and keep us posted

I've been very worried about him. I never see him brush his teeth and they've even been rotting out. He has maybe half of his teeth now. He barely eats, he eats maybe once a day or every other day. He has difficulty staying warm, he constantly has the heat on and he finds 80 degrees fahrenheit comfortable and 70 degrees cold. He's only 63 years old....

Hard to be sure exactly what the smell is like from a description, but famously ketones in the blood can cause a nail polish smell (one of them is acetone) on the breath. Causes of ketones are wide but Inunderstand include serious health conditions like diabetes, starvation, certain medication side effects.

I’d encourage him to see a doctor/urgent care to at least get a urine test for ketones.

This worries me. The odor could be ketones. Could be diabetes. If you cannot get appointment this week you need to go to urgent care. Meanwhile get urine dip stick and test for sugar and ketones. Can get cheap at any pharmacy.