233304 has 16 divisors (see below), whose sum is σ = 583320. Its totient is φ = 77760.

The previous prime is 233297. The next prime is 233323. The reversal of 233304 is 403332.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233304.

It is an unprimeable number.

233304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4837 + ... + 4884.

2²³³³⁰⁴ is an apocalyptic number.

233304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233304 is an abundant number, since it is smaller than the sum of its proper divisors (350016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233304 is a wasteful number, since it uses less digits than its factorization.

233304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9730 (or 9726 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 233304 is about 483.0155277007. The cubic root of 233304 is about 61.5612450894.

Subtracting from 233304 its sum of digits (15), we obtain a square (233289 = 483²).

Adding to 233304 its reverse (403332), we get a palindrome (636636).

The spelling of 233304 in words is "two hundred thirty-three thousand, three hundred four".