329023321 has 27 divisors (see below), whose sum is σ = 388180317. Its totient is φ = 278615040.

The previous prime is 329023309. The next prime is 329023327. The reversal of 329023321 is 123320923.

The square root of 329023321 is 18139.

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

It can be written as a sum of positive squares in 4 ways, for example, as 19263321 + 309760000 = 4389^2 + 17600^2 .

It is not a de Polignac number, because 329023321 - 2²⁵ = 295468889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (329023327) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3391945 + ... + 3392041.

Almost surely, 2^329023321 is an apocalyptic number.

329023321 is the 18139-th square number.

329023321 is the 9070-th centered octagonal number.

It is an amenable number.

329023321 is a deficient number, since it is larger than the sum of its proper divisors (59156996).

329023321 is an equidigital number, since it uses as much as digits as its factorization.

329023321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The cubic root of 329023321 is about 690.3599053577.

Multiplying 329023321 by its sum of digits (25), we get a square (8225583025 = 90695²).

The spelling of 329023321 in words is "three hundred twenty-nine million, twenty-three thousand, three hundred twenty-one".