33904 has 20 divisors (see below), whose sum is σ = 71176. Its totient is φ = 15552.

The previous prime is 33893. The next prime is 33911. The reversal of 33904 is 40933.

It is a super-2 number, since 2×33904² = 2298962432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127 + ... + 289.

2³³⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35588).

33904 is an abundant number, since it is smaller than the sum of its proper divisors (37272).

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

33904 is a wasteful number, since it uses less digits than its factorization.

33904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 33904 is about 184.1303885837. The cubic root of 33904 is about 32.3655988068.

The spelling of 33904 in words is "thirty-three thousand, nine hundred four".