Although entirely unmathematical, (a great regret to me but there it is), I like to play little games with numbers. I enjoy reading of the number games and discoveries by Charles Dodgson [aka Lewis Carroll] recorded in such places as Martin Gardner's "The Annotated Alice" - but, then, Dodgson was a distinguished Oxford mathematician.

E.g. it occurred to me yesterday that my present age, 81, is a nice number, because it is a square. Moreover, its digits add up to the number that it is the square of. Do any other squares do that?

And does anyone else find such things of as much interest and entertainment as I do? Or have any examples to contribute?

~Michael~