329872 has 20 divisors (see below), whose sum is σ = 652860. Its totient is φ = 161408.

The previous prime is 329867. The next prime is 329873. The reversal of 329872 is 278923.

It can be written as a sum of positive squares in 2 ways, for example, as 156816 + 173056 = 396^2 + 416^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (329873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 654 + ... + 1042.

It is an arithmetic number, because the mean of its divisors is an integer number (32643).

2³²⁹⁸⁷² is an apocalyptic number.

It is an amenable number.

329872 is a deficient number, since it is larger than the sum of its proper divisors (322988).

329872 is a wasteful number, since it uses less digits than its factorization.

329872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 329872 is about 574.3448441485. The cubic root of 329872 is about 69.0952964561.

The spelling of 329872 in words is "three hundred twenty-nine thousand, eight hundred seventy-two".