33304 has 16 divisors (see below), whose sum is σ = 65520. Its totient is φ = 15840.

The previous prime is 33301. The next prime is 33311. The reversal of 33304 is 40333.

It is a super-2 number, since 2×33304² = 2218312832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2³³³⁰⁴ is an apocalyptic number.

It is an amenable number.

33304 is a deficient number, since it is larger than the sum of its proper divisors (32216).

33304 is a wasteful number, since it uses less digits than its factorization.

33304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 33304 is about 182.4938355123. The cubic root of 33304 is about 32.1735363757.

Adding to 33304 its reverse (40333), we get a palindrome (73637).

The spelling of 33304 in words is "thirty-three thousand, three hundred four".