872584 has 8 divisors (see below), whose sum is σ = 1636110. Its totient is φ = 436288.

The previous prime is 872567. The next prime is 872587. The reversal of 872584 is 485278.

It can be written as a sum of positive squares in only one way, i.e., 850084 + 22500 = 922^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×872584² = 1522805674112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872587) by changing a digit.

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 as a sum of consecutive naturals, namely, 54529 + ... + 54544.

2⁸⁷²⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

872584 is a deficient number, since it is larger than the sum of its proper divisors (763526).

872584 is a wasteful number, since it uses less digits than its factorization.

872584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109079 (or 109075 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The square root of 872584 is about 934.1220477004. The cubic root of 872584 is about 95.5584467206.

The spelling of 872584 in words is "eight hundred seventy-two thousand, five hundred eighty-four".