George McHighflatin was diagnosed with syphilis during the 2nd month of the last year of the 19th century.  The date was a perfect number.  The preceding date was a perfect cube (although Sally, whom George had spent the preceding night with, was far from a perfect cube).  He ran to the apothecary with his prescription, 25 pills to be taken at half hour intervals.  He was understandably concerned and followed the instructions to the letter.  The apothecary filled his prescription at 1 in the afternoon.  When, exactly, did George run out of pills (be as complete as possible in your answer)?

The date was a perfect number.

I looked up "perfect numbers" on Wikipedia and none of them look like a date from the right period...

By date I mean the day within the month.  So for today, the date is the 9th.

1 am march 1st 1900?

Either that or the same date and time in 1899 (depending on where you draw the line between centuries... I'm never sure which is correct)

I thought the trick was going to involve a leap year for a moment there, but years divisible by 100 aren't leap years, unless they're also divisible by 400...

Yes, Sir M is correct.

@SK, it was a double bluff on the leap year.

whoa.

that's like three riddles in one.

I see why that answer is right, but don't care to elaborate right now.  Anyone else?  (please? I promise it'll be fun!) 

Only 2 perfect numbers that can be dates in Feb - 6 and 28, and only one of those comes after a perfect cube (27 being 3 cubed)

So he receives his meds at 1pm on the 28th of Feb, takes the first of 25 immediately and the following 24 at half hour intervals amounts to 12 hours = 1am the next day.

The choice between 1899 and 1900 as the last year of the 19th century comes down to whether there was a "year zero", and apparently the convention is that there wasn't, so year 1 was the first year of the first century, so year 100 was the 100th (and last) year of the same, so 1900 was the last year of the 19th century.

Leap Year considerations are a double bluff since 1900 is divisible by 100, but not 400, and hence not a leap year, so that leaves the final answer being that he took the last of his pills at 1am on March the 1st 1900.

As SirM said.

oh....i was expecting that to be wrong...and some sort of double/triple/quadruple bluff to be in operation....

I thought about going with 1600 or 2000 but decided against it