329132164 has 27 divisors (see below), whose sum is σ = 591561957. Its totient is φ = 160230144.

The previous prime is 329132161. The next prime is 329132171. The reversal of 329132164 is 461231923.

The square root of 329132164 is 18142.

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., 79744900 + 249387264 = 8930^2 + 15792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329132161) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1705252 + ... + 1705444.

Almost surely, 2^329132164 is an apocalyptic number.

329132164 is the 18142-nd square number.

It is an amenable number.

329132164 is a deficient number, since it is larger than the sum of its proper divisors (262429793).

329132164 is an equidigital number, since it uses as much as digits as its factorization.

329132164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The cubic root of 329132164 is about 690.4360221091.

The spelling of 329132164 in words is "three hundred twenty-nine million, one hundred thirty-two thousand, one hundred sixty-four".