The door most people use
Reach 65 as a citizen, or as a lawful permanent resident with five continuous years of residence, and you are eligible that month. Health history, income, and employment status have no bearing. Nobody asks you medical questions the way a private insurer would.
What varies is whether the paperwork reaches you automatically. Already drawing Social Security or Railroad Retirement? Parts A and B are switched on for you, and the card tends to arrive roughly three months before the birthday. Not drawing yet? You file yourself, and the calmest moment to do that is the three months ahead of your birthday month.
