329172 has 12 divisors (see below), whose sum is σ = 768096. Its totient is φ = 109720.

The previous prime is 329167. The next prime is 329177. The reversal of 329172 is 271923.

It is an interprime number because it is at equal distance from previous prime (329167) and next prime (329177).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329172.

It is not an unprimeable number, because it can be changed into a prime (329177) by changing a digit.

329172 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 3 ways as a sum of consecutive naturals, for example, 13704 + ... + 13727.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

2³²⁹¹⁷² is an apocalyptic number.

It is an amenable number.

329172 is an abundant number, since it is smaller than the sum of its proper divisors (438924).

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

329172 is a wasteful number, since it uses less digits than its factorization.

329172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27438 (or 27436 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 329172 is about 573.7351305263. The cubic root of 329172 is about 69.0463876269.

The spelling of 329172 in words is "three hundred twenty-nine thousand, one hundred seventy-two".