330329 has 2 divisors, whose sum is σ = 330330. Its totient is φ = 330328.

The previous prime is 330313. The next prime is 330331. The reversal of 330329 is 923033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204304 + 126025 = 452^2 + 355^2 .

It is a cyclic number.

It is not a de Polignac number, because 330329 - 2⁴ = 330313 is a prime.

It is a Sophie Germain prime.

Together with 330331, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is equal to p₂₈₄₃₃ and since 330329 and 28433 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330329.

It is not a weakly prime, because it can be changed into another prime (330359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165164 + 165165.

It is an arithmetic number, because the mean of its divisors is an integer number (165165).

2³³⁰³²⁹ is an apocalyptic number.

It is an amenable number.

330329 is a deficient number, since it is larger than the sum of its proper divisors (1).

330329 is an equidigital number, since it uses as much as digits as its factorization.

330329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 330329 is about 574.7425510609. The cubic root of 330329 is about 69.1271896144.

Subtracting 330329 from its reverse (923033), we obtain a cube (592704 = 84³).

The spelling of 330329 in words is "three hundred thirty thousand, three hundred twenty-nine".