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2025: An Oddly Satisfying Year for Math Nerds

If you follow the news, you will agree 2025 hasn’t exactly been a square year so far. But for number wonks, it’s square. Perfectly square.

A man standing in front of a very large blackboard with math equations scribbled all over it.
2025 is an exceptionally satisfying year for number nerds.
©iStockphoto.com/francescoch

If you, like us, are on Team Nerd and mathematical perfection makes you feel warm and fuzzy, 2025 is your year. Numerically speaking, 2025 is as satisfying as they come.

A Rare Square

Let’s start simple: 2025 is a perfect square.

In math, a perfect square is what you get when you multiply a whole number by itself:

45 × 45 = 2025.

Perfect-square years don’t come around often—but 2025 isn’t unique in that sense. The last one was 1936 (44²), and the next will be 2116 (46²).

That’s roughly a 90-year span from one to the next. So you’re likely living through the only perfect square year of your lifetime.

The 823-years myth

What Makes 2025 Truly Unique

But here’s where it starts to get interesting: 2025 is also the square of the sum of all ten digits in the decimal numbering system:

0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

And again:

45 × 45 = 2025

Since the sum of all ten digits is always 45, 2025 is the only year in history with this particular quality. It has never happened before and will never happen again.

Calendar for year 45²

Taking It to the Cube Level

The same is true for the following mathematical coincidence: 2025 is also the sum of the cubes of the ten digits.

In math, a cube is what you get when you multiply a number by itself, and then multiply it by itself again. The mathematical symbol is ³.

For example, 5³ = 5 x 5 x 5 = 125.

Now, if you cube all ten digits and add them together, you get—you guessed it— 2025:

0³ + 1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³
= 0 + 1 + 8 + 27 + 64 + 125 + 216 + 343 + 512 + 729
= 2025