825864 has 32 divisors (see below), whose sum is σ = 2224320. Its totient is φ = 254016.

The previous prime is 825857. The next prime is 825883. The reversal of 825864 is 468528.

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 825864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012 + ... + 1635.

It is an arithmetic number, because the mean of its divisors is an integer number (69510).

2⁸²⁵⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

825864 is an abundant number, since it is smaller than the sum of its proper divisors (1398456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

825864 is a wasteful number, since it uses less digits than its factorization.

825864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2665 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 825864 is about 908.7705981159. The cubic root of 825864 is about 93.8216021883.

The spelling of 825864 in words is "eight hundred twenty-five thousand, eight hundred sixty-four".