332964 has 24 divisors (see below), whose sum is σ = 863520. Its totient is φ = 110952.

The previous prime is 332951. The next prime is 332987. The reversal of 332964 is 469233.

It is a super-2 number, since 2×332964² = 221730050592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable 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, 1434 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (35980).

2³³²⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

332964 is an abundant number, since it is smaller than the sum of its proper divisors (530556).

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

332964 is a wasteful number, since it uses less digits than its factorization.

332964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3088 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 332964 is about 577.0303284924. The cubic root of 332964 is about 69.3105098282.

It can be divided in two parts, 332 and 964, that added together give a 4-th power (1296 = 6⁴).

The spelling of 332964 in words is "three hundred thirty-two thousand, nine hundred sixty-four".