872541 has 12 divisors (see below), whose sum is σ = 1280032. Its totient is φ = 572616.

The previous prime is 872533. The next prime is 872549. The reversal of 872541 is 145278.

872541 is nontrivially palindromic in base 16.

872541 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 (872533) and next prime (872549).

It is not a de Polignac number, because 872541 - 2³ = 872533 is a prime.

It is a super-2 number, since 2×872541² = 1522655593362, which contains 22 as substring.

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 872541.

It is not an unprimeable number, because it can be changed into a prime (872549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121 + ... + 1326.

2⁸⁷²⁵⁴¹ is an apocalyptic number.

It is an amenable number.

872541 is a deficient number, since it is larger than the sum of its proper divisors (407491).

872541 is a wasteful number, since it uses less digits than its factorization.

872541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1517 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 872541 is about 934.0990311525. The cubic root of 872541 is about 95.5568770224.

It can be divided in two parts, 87 and 2541, that added together give a triangular number (2628 = T₇₂).

The spelling of 872541 in words is "eight hundred seventy-two thousand, five hundred forty-one".