329923 has 8 divisors (see below), whose sum is σ = 365040. Its totient is φ = 295680.

The previous prime is 329899. The next prime is 329941.

It is a happy number.

329923 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 329923 - 2⁵ = 329891 is a prime.

It is a Duffinian number.

329923 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 329891 and 329900.

It is not an unprimeable number, because it can be changed into a prime (329993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811 + ... + 1147.

It is an arithmetic number, because the mean of its divisors is an integer number (45630).

2³²⁹⁹²³ is an apocalyptic number.

329923 is a deficient number, since it is larger than the sum of its proper divisors (35117).

329923 is a wasteful number, since it uses less digits than its factorization.

329923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437.

The product of its digits is 2916, while the sum is 28.

The square root of 329923 is about 574.3892408463. The cubic root of 329923 is about 69.0988571084.

The spelling of 329923 in words is "three hundred twenty-nine thousand, nine hundred twenty-three".