825856 has 20 divisors (see below), whose sum is σ = 1651122. Its totient is φ = 412672.

The previous prime is 825829. The next prime is 825857. The reversal of 825856 is 658528.

It can be written as a sum of positive squares in only one way, i.e., 665856 + 160000 = 816^2 + 400^2 .

It is not an unprimeable number, because it can be changed into a prime (825857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 295 + ... + 1318.

2⁸²⁵⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

825856 is a deficient number, since it is larger than the sum of its proper divisors (825266).

825856 is an equidigital number, since it uses as much as digits as its factorization.

825856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1615 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 825856 is about 908.7661965544. The cubic root of 825856 is about 93.8212992429.

It can be divided in two parts, 82585 and 6, that multiplied together give a triangular number (495510 = T₉₉₅).

The spelling of 825856 in words is "eight hundred twenty-five thousand, eight hundred fifty-six".