32804 has 12 divisors (see below), whose sum is σ = 58800. Its totient is φ = 16008.

The previous prime is 32803. The next prime is 32831. The reversal of 32804 is 40823.

It is a super-2 number, since 2×32804² = 2152204832, which contains 22 as substring.

It is a plaindrome in base 3, base 9 and base 15.

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 32804.

It is not an unprimeable number, because it can be changed into a prime (32801) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 167 + ... + 305.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2³²⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

32804 is a deficient number, since it is larger than the sum of its proper divisors (25996).

32804 is a wasteful number, since it uses less digits than its factorization.

32804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 32804 is about 181.1187455787. The cubic root of 32804 is about 32.0117144611.

The spelling of 32804 in words is "thirty-two thousand, eight hundred four".