On New Year’s Eve, a friend mentioned a few fun math tidbits about the number 2025. I was intrigued and couldn’t resist diving deeper and coming up with a few more! As a market research firm, we love numbers and uncovering the stories behind them, so let’s start off the year 2025 with some fascinating facts about the number itself: 

A Joy of a Number 

The sum of its digits is 9 and 2025 is divisible by 9, which makes it a Harshad number (in number theory it’s an integer that is divisible by the sum of its digits), and the result of the division in this case is also a Harshad number with the same sum of digits of 9! The word Harshad is derived from a Sanskrit word that means joy. 

2+0+2+5=9, 2025/9=225 

2+2+5=9, 225/9=25 

That is a Square… 

If you add up numbers 1 through 9 and square the sum, it will equal… you guessed it – 2025: 

(1+2+3+4+5+6+7+8+9)^2=2025 

And also Cubes… 

The sum of cubes of numbers 1 through 9 also equals 2025: 

1^3+2^3+3^3+4^3+5^3+6^3+7^3+8^3+9^3=2025 

That is One in a Thousand 

Year 2025 is a “perfect square” (45^2=2025), which is pretty rare – it only happens about once a century. The last “perfect square” year was 1936 (44^2) and the next one will be 2116 (46^2). 

But 2025 is even more unique. If you put a + in the middle, you get 20+25=45 which gives you 2025 when squared: 

(20+25)^2=2025 

The next year with this quality will be 1000 years from now – year 3025! 

At Proof, we know that numbers are more than just digits – they tell a story and are the key to unlocking valuable strategic insights. May this unique year 2025 be filled with joy, curiosity, and high-quality market research!  

Happy New Year from all of us at Proof Insights! 

P.S. Do you know any other fun facts about 2025?