390393 has 16 divisors (see below), whose sum is σ = 609600. Its totient is φ = 246240.

The previous prime is 390391. The next prime is 390407. The reversal of 390393 is 393093.

It is not a de Polignac number, because 390393 - 2¹ = 390391 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

390393 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (390391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133 + ... + 893.

It is an arithmetic number, because the mean of its divisors is an integer number (38100).

2³⁹⁰³⁹³ is an apocalyptic number.

It is an amenable number.

390393 is a deficient number, since it is larger than the sum of its proper divisors (219207).

390393 is a wasteful number, since it uses less digits than its factorization.

390393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 783 counting only the distinct ones).

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

The square root of 390393 is about 624.8143724339. The cubic root of 390393 is about 73.0859686509.

The spelling of 390393 in words is "three hundred ninety thousand, three hundred ninety-three".