825957 has 28 divisors (see below), whose sum is σ = 1364064. Its totient is φ = 495720.

The previous prime is 825947. The next prime is 825959. The reversal of 825957 is 759528.

825957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825957 - 2⁷ = 825829 is a prime.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825959) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7968 + ... + 8070.

2⁸²⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

825957 is a deficient number, since it is larger than the sum of its proper divisors (538107).

825957 is a wasteful number, since it uses less digits than its factorization.

825957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 825957 is about 908.8217647042. The cubic root of 825957 is about 93.8251237857.

The spelling of 825957 in words is "eight hundred twenty-five thousand, nine hundred fifty-seven".