332970 has 32 divisors (see below), whose sum is σ = 872640. Its totient is φ = 80640.

The previous prime is 332951. The next prime is 332987. The reversal of 332970 is 79233.

It is a super-2 number, since 2×332970² = 221738041800, which contains 22 as substring.

It is a plaindrome in base 9.

It is a nialpdrome in base 13.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 332970.

It is an unprimeable number.

332970 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (27270).

2³³²⁹⁷⁰ is an apocalyptic number.

332970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332970 is an abundant number, since it is smaller than the sum of its proper divisors (539670).

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

332970 is a wasteful number, since it uses less digits than its factorization.

332970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030.

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 332970 is about 577.0355275024. The cubic root of 332970 is about 69.3109261501.

It can be divided in two parts, 33 and 2970, that added together give a palindrome (3003).

The spelling of 332970 in words is "three hundred thirty-two thousand, nine hundred seventy".