329933 has 8 divisors (see below), whose sum is σ = 353280. Its totient is φ = 307440.

The previous prime is 329899. The next prime is 329941. The reversal of 329933 is 339923.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 329933 - 2⁸ = 329677 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 329896 and 329905.

It is a congruent number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716 + ... + 1082.

It is an arithmetic number, because the mean of its divisors is an integer number (44160).

2³²⁹⁹³³ is an apocalyptic number.

It is an amenable number.

329933 is a deficient number, since it is larger than the sum of its proper divisors (23347).

329933 is a wasteful number, since it uses less digits than its factorization.

329933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427.

The product of its digits is 4374, while the sum is 29.

The square root of 329933 is about 574.3979456788. The cubic root of 329933 is about 69.0995552325.

The spelling of 329933 in words is "three hundred twenty-nine thousand, nine hundred thirty-three".