330093 has 6 divisors (see below), whose sum is σ = 476814. Its totient is φ = 220056.

The previous prime is 330067. The next prime is 330097. The reversal of 330093 is 390033.

It can be written as a sum of positive squares in only one way, i.e., 328329 + 1764 = 573^2 + 42^2 .

It is not a de Polignac number, because 330093 - 2⁵ = 330061 is a prime.

It is a super-2 number, since 2×330093² = 217922777298, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18330 + ... + 18347.

It is an arithmetic number, because the mean of its divisors is an integer number (79469).

2³³⁰⁰⁹³ is an apocalyptic number.

It is an amenable number.

330093 is a deficient number, since it is larger than the sum of its proper divisors (146721).

330093 is a wasteful number, since it uses less digits than its factorization.

330093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36683 (or 36680 counting only the distinct ones).

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

The square root of 330093 is about 574.5372050616. The cubic root of 330093 is about 69.1107233001.

The spelling of 330093 in words is "three hundred thirty thousand, ninety-three".