329133 has 12 divisors (see below), whose sum is σ = 510720. Its totient is φ = 187992.

The previous prime is 329123. The next prime is 329143. The reversal of 329133 is 331923.

It is an interprime number because it is at equal distance from previous prime (329123) and next prime (329143).

It is not a de Polignac number, because 329133 - 2⁵ = 329101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 329133.

It is not an unprimeable number, because it can be changed into a prime (329123) 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, 973 + ... + 1266.

It is an arithmetic number, because the mean of its divisors is an integer number (42560).

2³²⁹¹³³ is an apocalyptic number.

It is an amenable number.

329133 is a deficient number, since it is larger than the sum of its proper divisors (181587).

329133 is a wasteful number, since it uses less digits than its factorization.

329133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2249 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 329133 is about 573.7011417106. The cubic root of 329133 is about 69.0436606681.

The spelling of 329133 in words is "three hundred twenty-nine thousand, one hundred thirty-three".