329712964 has 27 divisors (see below), whose sum is σ = 671719293. Its totient is φ = 141196608.

The previous prime is 329712959. The next prime is 329712973. The reversal of 329712964 is 469217923.

The square root of 329712964 is 18158.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 328696900 + 1016064 = 18130^2 + 1008^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 329712964.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 253564 + ... + 254860.

Almost surely, 2^329712964 is an apocalyptic number.

329712964 is the 18158-th square number.

It is an amenable number.

329712964 is an abundant number, since it is smaller than the sum of its proper divisors (342006329).

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

329712964 is an equidigital number, since it uses as much as digits as its factorization.

329712964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 1306 counting only the distinct ones).

The product of its digits is 163296, while the sum is 43.

The cubic root of 329712964 is about 690.8419072821.

It can be divided in two parts, 3297 and 12964, that added together give a palindrome (16261).

The spelling of 329712964 in words is "three hundred twenty-nine million, seven hundred twelve thousand, nine hundred sixty-four".