825872 has 20 divisors (see below), whose sum is σ = 1624896. Its totient is φ = 406560.

The previous prime is 825857. The next prime is 825883. The reversal of 825872 is 278528.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 8² + 2⁷ + 8² + 5² + 7⁷ + 2¹¹ .

It is an unprimeable number.

825872 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 773 + ... + 1499.

2⁸²⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

825872 is a deficient number, since it is larger than the sum of its proper divisors (799024).

825872 is a wasteful number, since it uses less digits than its factorization.

825872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its digits is 8960, while the sum is 32.

The square root of 825872 is about 908.7749996561. The cubic root of 825872 is about 93.8219051318.

It can be divided in two parts, 825 and 872, that multiplied together give a triangular number (719400 = T₁₁₉₉).

The spelling of 825872 in words is "eight hundred twenty-five thousand, eight hundred seventy-two".