390975 has 24 divisors (see below), whose sum is σ = 697872. Its totient is φ = 192000.

The previous prime is 390967. The next prime is 390989. The reversal of 390975 is 579093.

390975 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 390975 - 2³ = 390967 is a prime.

It is a super-2 number, since 2×390975² = 305722901250, which contains 22 as substring.

390975 is strictly pandigital in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775 + ... + 1175.

It is an arithmetic number, because the mean of its divisors is an integer number (29078).

2³⁹⁰⁹⁷⁵ is an apocalyptic number.

390975 is a deficient number, since it is larger than the sum of its proper divisors (306897).

390975 is a wasteful number, since it uses less digits than its factorization.

390975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 390975 is about 625.2799373081. The cubic root of 390975 is about 73.1222696037.

The spelling of 390975 in words is "three hundred ninety thousand, nine hundred seventy-five".