825056 has 48 divisors (see below), whose sum is σ = 1814400. Its totient is φ = 367488.

The previous prime is 825049. The next prime is 825059. The reversal of 825056 is 650528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825059) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13955 + ... + 14013.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁸²⁵⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907200).

825056 is an abundant number, since it is smaller than the sum of its proper divisors (989344).

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

825056 is a wasteful number, since it uses less digits than its factorization.

825056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 825056 is about 908.3259326916. The cubic root of 825056 is about 93.7909948120.

The spelling of 825056 in words is "eight hundred twenty-five thousand, fifty-six".