825797 has 12 divisors (see below), whose sum is σ = 1012320. Its totient is φ = 669816.

The previous prime is 825791. The next prime is 825821. The reversal of 825797 is 797528.

825797 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 825797 - 2⁶ = 825733 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 825797.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 825797.

It is not an unprimeable number, because it can be changed into a prime (825791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488 + ... + 1374.

It is an arithmetic number, because the mean of its divisors is an integer number (84360).

2⁸²⁵⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

825797 is a deficient number, since it is larger than the sum of its proper divisors (186523).

825797 is a wasteful number, since it uses less digits than its factorization.

825797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 913 counting only the distinct ones).

The product of its digits is 35280, while the sum is 38.

The square root of 825797 is about 908.7337343799. The cubic root of 825797 is about 93.8190649597.

The spelling of 825797 in words is "eight hundred twenty-five thousand, seven hundred ninety-seven".