Yes, lots of them. This is shown below

There is a theorem, called the fundamental theorem of arithmatic. Amongst other things it says that any whole number can be written as the product of primes. If we chose a number x, we can write it as this product of primes.

Now consider and much more interestingly .

As you can see is a square number divisible by 9. I've just realised we didn't actually need the stuff about the primes, but it's good to learn something new everyday :D

For your enjoyment, here are three really big square numbers divisible by 9 that I worked out

• 290865928967208697537677954155146591215027084823761634916418981868464451672735642563258575025


• 377757024764443692555739771423286715885160196068990002369


• 287239467617910266150742450417499640849213343093880946478917496351351184155930613119360893088100381830756

Hope that helps

Kev