390375 has 24 divisors (see below), whose sum is σ = 705744. Its totient is φ = 207600.

The previous prime is 390373. The next prime is 390389. The reversal of 390375 is 573093.

390375 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 390375 - 2¹ = 390373 is a prime.

390375 is strictly pandigital in base 7.

It is a nialpdrome in base 5 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390373) 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 23 ways as a sum of consecutive naturals, for example, 952 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (29406).

2³⁹⁰³⁷⁵ is an apocalyptic number.

390375 is a deficient number, since it is larger than the sum of its proper divisors (315369).

390375 is a wasteful number, since it uses less digits than its factorization.

390375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 390375 is about 624.7999679898. The cubic root of 390375 is about 73.0848453660.

The spelling of 390375 in words is "three hundred ninety thousand, three hundred seventy-five".