32904 has 24 divisors (see below), whose sum is σ = 89310. Its totient is φ = 10944.

The previous prime is 32887. The next prime is 32909. The reversal of 32904 is 40923.

It can be written as a sum of positive squares in only one way, i.e., 22500 + 10404 = 150^2 + 102^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32904.

It is not an unprimeable number, because it can be changed into a prime (32909) by changing a digit.

32904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157 + ... + 300.

2³²⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

32904 is an abundant number, since it is smaller than the sum of its proper divisors (56406).

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

32904 is a wasteful number, since it uses less digits than its factorization.

32904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 32904 is about 181.3945974940. The cubic root of 32904 is about 32.0442097271.

The spelling of 32904 in words is "thirty-two thousand, nine hundred four".