32304 has 20 divisors (see below), whose sum is σ = 83576. Its totient is φ = 10752.

The previous prime is 32303. The next prime is 32309. The reversal of 32304 is 40323.

32304 is nontrivially palindromic in base 15.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 32304.

It is not an unprimeable number, because it can be changed into a prime (32303) 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, 289 + ... + 384.

2³²³⁰⁴ is an apocalyptic number.

It is an amenable number.

32304 is an abundant number, since it is smaller than the sum of its proper divisors (51272).

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 (41788).

32304 is a wasteful number, since it uses less digits than its factorization.

32304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 678 counting only the distinct ones).

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

The square root of 32304 is about 179.7331355093. The cubic root of 32304 is about 31.8482397469.

Adding to 32304 its reverse (40323), we get a palindrome (72627).

The spelling of 32304 in words is "thirty-two thousand, three hundred four".