330993 has 32 divisors (see below), whose sum is σ = 564480. Its totient is φ = 190080.

The previous prime is 330983. The next prime is 330997. The reversal of 330993 is 399033.

It is not a de Polignac number, because 330993 - 2¹⁰ = 329969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8053 + ... + 8093.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³³⁰⁹⁹³ is an apocalyptic number.

It is an amenable number.

330993 is a deficient number, since it is larger than the sum of its proper divisors (233487).

330993 is a wasteful number, since it uses less digits than its factorization.

330993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2187, while the sum is 27.

The square root of 330993 is about 575.3199110060. The cubic root of 330993 is about 69.1734765315.

The spelling of 330993 in words is "three hundred thirty thousand, nine hundred ninety-three".