872525 has 12 divisors (see below), whose sum is σ = 1146132. Its totient is φ = 656640.

The previous prime is 872479. The next prime is 872533. The reversal of 872525 is 525278.

It can be written as a sum of positive squares in 6 ways, for example, as 169 + 872356 = 13^2 + 934^2 .

It is not a de Polignac number, because 872525 - 2⁸ = 872269 is a prime.

It is a super-2 number, since 2×872525² = 1522599751250, which contains 22 as substring.

It is a d-powerful number, because it can be written as 8⁶ + 7⁵ + 5⁴ + 2¹⁶ + 2¹⁹ + 5⁵ .

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

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 872525.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602 + ... + 1451.

It is an arithmetic number, because the mean of its divisors is an integer number (95511).

2⁸⁷²⁵²⁵ is an apocalyptic number.

872525 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

872525 is a deficient number, since it is larger than the sum of its proper divisors (273607).

872525 is a wasteful number, since it uses less digits than its factorization.

872525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2075 counting only the distinct ones).

The product of its digits is 5600, while the sum is 29.

The square root of 872525 is about 934.0904667108. The cubic root of 872525 is about 95.5562929354.

The spelling of 872525 in words is "eight hundred seventy-two thousand, five hundred twenty-five".