825597 has 6 divisors (see below), whose sum is σ = 1192542. Its totient is φ = 550392.

The previous prime is 825593. The next prime is 825611. The reversal of 825597 is 795528.

It can be written as a sum of positive squares in only one way, i.e., 820836 + 4761 = 906^2 + 69^2 .

It is not a de Polignac number, because 825597 - 2² = 825593 is a prime.

It is a super-2 number, since 2×825597² = 1363220812818, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825593) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45858 + ... + 45875.

It is an arithmetic number, because the mean of its divisors is an integer number (198757).

2⁸²⁵⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

825597 is a deficient number, since it is larger than the sum of its proper divisors (366945).

825597 is a wasteful number, since it uses less digits than its factorization.

825597 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91739 (or 91736 counting only the distinct ones).

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

The square root of 825597 is about 908.6236844811. The cubic root of 825597 is about 93.8114903265.

The spelling of 825597 in words is "eight hundred twenty-five thousand, five hundred ninety-seven".