33204 has 12 divisors (see below), whose sum is σ = 77504. Its totient is φ = 11064.

The previous prime is 33203. The next prime is 33211. The reversal of 33204 is 40233.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×33204² = 2205011232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 2767 = 33204 / (3 + 3 + 2 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 33204.

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 33204.

It is not an unprimeable number, because it can be changed into a prime (33203) 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, 1372 + ... + 1395.

2³³²⁰⁴ is an apocalyptic number.

It is an amenable number.

33204 is an abundant number, since it is smaller than the sum of its proper divisors (44300).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38752).

33204 is a wasteful number, since it uses less digits than its factorization.

33204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 33204 is about 182.2196476783. The cubic root of 33204 is about 32.1413022175.

Adding to 33204 its reverse (40233), we get a palindrome (73437).

The spelling of 33204 in words is "thirty-three thousand, two hundred four".