2025 is exactly 45×45. The last square year was 1936 (44×44), and the next will be 2116 (46×46). So let’s make this year a good one! Happy New Year everybody. Wishing you a year of happiness, joy and maths!
As it happens, 2025 is also the product of two squares (92x52) and the sum of three squares (402+202+52).
2025 is also equal to the sum of the cubes of all the digits, and perhaps the most interesting ones, (20+25)2 and (1+2+3+4+5+6+7+8+9)2.
Anyway, there is a bit of maths to start the year for you!