329329 has 24 divisors (see below), whose sum is σ = 459648. Its totient is φ = 231840.

The previous prime is 329321. The next prime is 329333. The reversal of 329329 is 923923.

329329 = 168² + 169² + ... + 178².

It is a happy number.

It is not a de Polignac number, because 329329 - 2³ = 329321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 329297 and 329306.

It is not an unprimeable number, because it can be changed into a prime (329321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6984 + ... + 7030.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2³²⁹³²⁹ is an apocalyptic number.

It is an amenable number.

329329 is a deficient number, since it is larger than the sum of its proper divisors (130319).

329329 is a wasteful number, since it uses less digits than its factorization.

329329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 78 counting only the distinct ones).

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

The square root of 329329 is about 573.8719369337. The cubic root of 329329 is about 69.0573632059.

The spelling of 329329 in words is "three hundred twenty-nine thousand, three hundred twenty-nine".