872565 has 8 divisors (see below), whose sum is σ = 1396128. Its totient is φ = 465360.

The previous prime is 872563. The next prime is 872567. The reversal of 872565 is 565278.

872565 = T₁₇₄ + T₁₇₅ + ... + T₂₁₈.

It is a happy number.

872565 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (872563) and next prime (872567).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 872565 - 2¹ = 872563 is a prime.

It is a super-2 number, since 2×872565² = 1522739358450, which contains 22 as substring.

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

872565 is a lucky 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 872565.

It is not an unprimeable number, because it can be changed into a prime (872561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29071 + ... + 29100.

It is an arithmetic number, because the mean of its divisors is an integer number (174516).

2⁸⁷²⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

872565 is a deficient number, since it is larger than the sum of its proper divisors (523563).

872565 is a wasteful number, since it uses less digits than its factorization.

872565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58179.

The product of its digits is 16800, while the sum is 33.

The square root of 872565 is about 934.1118776678. Note that the first 3 decimals coincide. The cubic root of 872565 is about 95.5577531394.

The spelling of 872565 in words is "eight hundred seventy-two thousand, five hundred sixty-five".