872127 has 24 divisors (see below), whose sum is σ = 1355536. Its totient is φ = 559872.

The previous prime is 872107. The next prime is 872129. The reversal of 872127 is 721278.

It is not a de Polignac number, because 872127 - 2¹⁰ = 871103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 872127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8943 + ... + 9039.

2⁸⁷²¹²⁷ is an apocalyptic number.

872127 is a deficient number, since it is larger than the sum of its proper divisors (483409).

872127 is an equidigital number, since it uses as much as digits as its factorization.

872127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 137 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 872127 is about 933.8774009473. The cubic root of 872127 is about 95.5417614746.

It can be divided in two parts, 872 and 127, that added together give a palindrome (999).

The spelling of 872127 in words is "eight hundred seventy-two thousand, one hundred twenty-seven".