393120085 has 16 divisors (see below), whose sum is σ = 488759040. Its totient is φ = 303186240.

The previous prime is 393120073. The next prime is 393120109. The reversal of 393120085 is 580021393.

It is a happy number.

It is not a de Polignac number, because 393120085 - 2²⁵ = 359565653 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115924 + ... + 119266.

It is an arithmetic number, because the mean of its divisors is an integer number (30547440).

Almost surely, 2^393120085 is an apocalyptic number.

It is an amenable number.

393120085 is a deficient number, since it is larger than the sum of its proper divisors (95638955).

393120085 is a wasteful number, since it uses less digits than its factorization.

393120085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 393120085 is about 19827.2561137440. The cubic root of 393120085 is about 732.5575426457.

The spelling of 393120085 in words is "three hundred ninety-three million, one hundred twenty thousand, eighty-five".