872905 has 16 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 621760.

The previous prime is 872863. The next prime is 872923. The reversal of 872905 is 509278.

872905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 872905 - 2⁹ = 872393 is a prime.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3111 + ... + 3379.

It is an arithmetic number, because the mean of its divisors is an integer number (72900).

2⁸⁷²⁹⁰⁵ is an apocalyptic number.

It is an amenable number.

872905 is a deficient number, since it is larger than the sum of its proper divisors (293495).

872905 is a wasteful number, since it uses less digits than its factorization.

872905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 872905 is about 934.2938509912. The cubic root of 872905 is about 95.5701630714.

It can be divided in two parts, 87 and 2905, that added together give a palindrome (2992).

The spelling of 872905 in words is "eight hundred seventy-two thousand, nine hundred five".