390825 has 30 divisors (see below), whose sum is σ = 727694. Its totient is φ = 207360.

The previous prime is 390821. The next prime is 390829. The reversal of 390825 is 528093.

It is an interprime number because it is at equal distance from previous prime (390821) and next prime (390829).

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 385641 = 72^2 + 621^2 .

It is not a de Polignac number, because 390825 - 2² = 390821 is a prime.

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

It is a Duffinian number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (390821) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1929 + ... + 2121.

2³⁹⁰⁸²⁵ is an apocalyptic number.

It is an amenable number.

390825 is a deficient number, since it is larger than the sum of its proper divisors (336869).

390825 is a wasteful number, since it uses less digits than its factorization.

390825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 390825 is about 625.1599795252. The cubic root of 390825 is about 73.1129171357.

The spelling of 390825 in words is "three hundred ninety thousand, eight hundred twenty-five".