mmxv (12. 116)

Numerically speaking, the coming year has some compelling arithmetic properties—albeit some are classified as amusing puzzlers without mathematical significance, though nonetheless worthy of exploration—foremostly being that it is a square that remains square if all its digits are incremented: itself a square (45²), the sum of three squares (5² + 20² + 40²) and the product of two squares (5² x 9²), the sum of a 9x9 multiplication table, and split as (20 + 25)² = 2025. Moreover by both American and European calendar conventions (because of the communicative property of addition) 24 July is a Pythagorean Day, with 24² + 7² = 25², like the last one on 16 December 2020. More from Futility Closet at the link above.