872825 has 6 divisors (see below), whose sum is σ = 1082334. Its totient is φ = 698240.

The previous prime is 872791. The next prime is 872843. The reversal of 872825 is 528278.

It can be written as a sum of positive squares in 3 ways, for example, as 50176 + 822649 = 224^2 + 907^2 .

It is not a de Polignac number, because 872825 - 2⁶ = 872761 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 872791 and 872800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17432 + ... + 17481.

It is an arithmetic number, because the mean of its divisors is an integer number (180389).

2⁸⁷²⁸²⁵ is an apocalyptic number.

It is an amenable number.

872825 is a deficient number, since it is larger than the sum of its proper divisors (209509).

872825 is a wasteful number, since it uses less digits than its factorization.

872825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34923 (or 34918 counting only the distinct ones).

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

The square root of 872825 is about 934.2510369274. The cubic root of 872825 is about 95.5672433774.

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

The spelling of 872825 in words is "eight hundred seventy-two thousand, eight hundred twenty-five".