332985105 has 48 divisors (see below), whose sum is σ = 616412160. Its totient is φ = 165916800.

The previous prime is 332985097. The next prime is 332985113. The reversal of 332985105 is 501589233.

It is an interprime number because it is at equal distance from previous prime (332985097) and next prime (332985113).

It is not a de Polignac number, because 332985105 - 2³ = 332985097 is a prime.

It is a super-2 number, since 2×332985105² = 221758160303722050, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 332985105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36340 + ... + 44570.

It is an arithmetic number, because the mean of its divisors is an integer number (12841920).

Almost surely, 2^332985105 is an apocalyptic number.

It is an amenable number.

332985105 is a deficient number, since it is larger than the sum of its proper divisors (283427055).

332985105 is a wasteful number, since it uses less digits than its factorization.

332985105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 332985105 is about 18247.8794658448. The cubic root of 332985105 is about 693.1197421818.

The spelling of 332985105 in words is "three hundred thirty-two million, nine hundred eighty-five thousand, one hundred five".