395876825 has 24 divisors (see below), whose sum is σ = 509413080. Its totient is φ = 304819200.

The previous prime is 395876797. The next prime is 395876827. The reversal of 395876825 is 528678593.

It can be written as a sum of positive squares in 12 ways, for example, as 96275344 + 299601481 = 9812^2 + 17309^2 .

It is not a de Polignac number, because 395876825 - 2¹⁰ = 395875801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (395876827) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304577 + ... + 305873.

It is an arithmetic number, because the mean of its divisors is an integer number (21225545).

Almost surely, 2^395876825 is an apocalyptic number.

It is an amenable number.

395876825 is a deficient number, since it is larger than the sum of its proper divisors (113536255).

395876825 is a wasteful number, since it uses less digits than its factorization.

395876825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1752 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 53.

The square root of 395876825 is about 19896.6536131079. The cubic root of 395876825 is about 734.2658997727.

The spelling of 395876825 in words is "three hundred ninety-five million, eight hundred seventy-six thousand, eight hundred twenty-five".