332004 has 24 divisors (see below), whose sum is σ = 787360. Its totient is φ = 108864.

The previous prime is 331999. The next prime is 332009. The reversal of 332004 is 400233.

It is an interprime number because it is at equal distance from previous prime (331999) and next prime (332009).

It is a super-2 number, since 2×332004² = 220453312032, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 332004.

It is not an unprimeable number, because it can be changed into a prime (332009) by changing a digit.

332004 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687 + ... + 1065.

2³³²⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

332004 is an abundant number, since it is smaller than the sum of its proper divisors (455356).

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

332004 is a wasteful number, since it uses less digits than its factorization.

332004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

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

The square root of 332004 is about 576.1978826757. The cubic root of 332004 is about 69.2438338117.

Adding to 332004 its reverse (400233), we get a palindrome (732237).

The spelling of 332004 in words is "three hundred thirty-two thousand, four".