329922 has 12 divisors (see below), whose sum is σ = 714870. Its totient is φ = 109968.

The previous prime is 329899. The next prime is 329941. The reversal of 329922 is 229923.

329922 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 281961 + 47961 = 531^2 + 219^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

329922 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 5 ways as a sum of consecutive naturals, for example, 9147 + ... + 9182.

2³²⁹⁹²² is an apocalyptic number.

329922 is an abundant number, since it is smaller than the sum of its proper divisors (384948).

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

329922 is a wasteful number, since it uses less digits than its factorization.

329922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18337 (or 18334 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 329922 is about 574.3883703558. The cubic root of 329922 is about 69.0987872952.

Subtracting from 329922 its reverse (229923), we obtain a palindrome (99999).

It can be divided in two parts, 3299 and 22, that added together give a triangular number (3321 = T₈₁).

The spelling of 329922 in words is "three hundred twenty-nine thousand, nine hundred twenty-two".