330309 has 24 divisors (see below), whose sum is σ = 561600. Its totient is φ = 186984.

The previous prime is 330289. The next prime is 330311. The reversal of 330309 is 903033.

It is not a de Polignac number, because 330309 - 2⁸ = 330053 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330291 and 330300.

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 330309.

It is not an unprimeable number, because it can be changed into a prime (330329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3034 + ... + 3140.

It is an arithmetic number, because the mean of its divisors is an integer number (23400).

2³³⁰³⁰⁹ is an apocalyptic number.

It is an amenable number.

330309 is a deficient number, since it is larger than the sum of its proper divisors (231291).

330309 is a wasteful number, since it uses less digits than its factorization.

330309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 330309 is about 574.7251517030. The cubic root of 330309 is about 69.1257944682.

The spelling of 330309 in words is "three hundred thirty thousand, three hundred nine".