395125 has 16 divisors (see below), whose sum is σ = 514800. Its totient is φ = 302400.

The previous prime is 395119. The next prime is 395137. The reversal of 395125 is 521593.

It can be written as a sum of positive squares in 8 ways, for example, as 88209 + 306916 = 297^2 + 554^2 .

It is not a de Polignac number, because 395125 - 2⁵ = 395093 is a prime.

It is a super-2 number, since 2×395125² = 312247531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 395125.

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, 3571 + ... + 3679.

It is an arithmetic number, because the mean of its divisors is an integer number (32175).

2³⁹⁵¹²⁵ is an apocalyptic number.

It is an amenable number.

395125 is a deficient number, since it is larger than the sum of its proper divisors (119675).

395125 is a wasteful number, since it uses less digits than its factorization.

395125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its digits is 1350, while the sum is 25.

The square root of 395125 is about 628.5896912931. The cubic root of 395125 is about 73.3800780944.

The spelling of 395125 in words is "three hundred ninety-five thousand, one hundred twenty-five".