872553 has 16 divisors (see below), whose sum is σ = 1285056. Its totient is φ = 522240.

The previous prime is 872549. The next prime is 872561. The reversal of 872553 is 355278.

It is a happy number.

It is not a de Polignac number, because 872553 - 2² = 872549 is a prime.

It is a super-2 number, since 2×872553² = 1522697475618, which contains 22 as substring.

872553 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 872553.

It is not an unprimeable number, because it can be changed into a prime (872533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4425 + ... + 4617.

It is an arithmetic number, because the mean of its divisors is an integer number (80316).

2⁸⁷²⁵⁵³ is an apocalyptic number.

It is an amenable number.

872553 is a deficient number, since it is larger than the sum of its proper divisors (412503).

872553 is a wasteful number, since it uses less digits than its factorization.

872553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its digits is 8400, while the sum is 30.

The square root of 872553 is about 934.1054544322. The cubic root of 872553 is about 95.5573150829.

It can be divided in two parts, 8725 and 53, that added together give a palindrome (8778).

The spelling of 872553 in words is "eight hundred seventy-two thousand, five hundred fifty-three".