329823 has 12 divisors (see below), whose sum is σ = 513240. Its totient is φ = 202896.

The previous prime is 329803. The next prime is 329863. The reversal of 329823 is 328923.

It is not a de Polignac number, because 329823 - 2¹³ = 321631 is a prime.

It is a super-2 number, since 2×329823² = 217566422658, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1293 + ... + 1526.

It is an arithmetic number, because the mean of its divisors is an integer number (42770).

2³²⁹⁸²³ is an apocalyptic number.

329823 is a deficient number, since it is larger than the sum of its proper divisors (183417).

329823 is a wasteful number, since it uses less digits than its factorization.

329823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2835 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 329823 is about 574.3021852649. The cubic root of 329823 is about 69.0918750914.

Subtracting from 329823 its reverse (328923), we obtain a square (900 = 30²).

It can be divided in two parts, 3298 and 23, that added together give a triangular number (3321 = T₈₁).

The spelling of 329823 in words is "three hundred twenty-nine thousand, eight hundred twenty-three".