330009 has 8 divisors (see below), whose sum is σ = 450912. Its totient is φ = 214560.

The previous prime is 329999. The next prime is 330017. The reversal of 330009 is 900033.

330009 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 330009 - 2⁴ = 329993 is a prime.

330009 is strictly pandigital in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 330009.

It is not an unprimeable number, because it can be changed into a prime (330019) 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 7 ways as a sum of consecutive naturals, for example, 1219 + ... + 1464.

It is an arithmetic number, because the mean of its divisors is an integer number (56364).

2³³⁰⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

330009 is a deficient number, since it is larger than the sum of its proper divisors (120903).

330009 is a wasteful number, since it uses less digits than its factorization.

330009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 330009 is about 574.4640980949. The cubic root of 330009 is about 69.1048605147.

The spelling of 330009 in words is "three hundred thirty thousand, nine".