My Life of Learning

Five Digits of Fun

My thousands digit is the first that is perfect,

But if you’re not happy with that,

It’s also the product of the first two primes,

According to my precocious cat.

My units digit is the odd of those primes,

And if you look at it and my ten,

You’ll find a number divisible by three,

But not by the square of that, friends.

Now let’s look at my hundreds and thousands,

If you examine those two as they’re paired,

You’ll find they form a number divisible by

An even prime that’s been squared.

Now let’s look at my body in whole.

Five different digits you see,

In order (or not) you’ll find that they are

Divisible by nine, yes siree!

Can you find the mystery number?

Bonus:  There is more than one number that fits this poem – can you find another?