872117 has 12 divisors (see below), whose sum is σ = 972036. Its totient is φ = 779520.

The previous prime is 872107. The next prime is 872129. The reversal of 872117 is 711278.

It can be written as a sum of positive squares in 6 ways, for example, as 14641 + 857476 = 121^2 + 926^2 .

It is not a de Polignac number, because 872117 - 2¹⁴ = 855733 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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 872117.

It is not an unprimeable number, because it can be changed into a prime (872107) 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, 14267 + ... + 14327.

It is an arithmetic number, because the mean of its divisors is an integer number (81003).

2⁸⁷²¹¹⁷ is an apocalyptic number.

It is an amenable number.

872117 is a deficient number, since it is larger than the sum of its proper divisors (99919).

872117 is a wasteful number, since it uses less digits than its factorization.

872117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its digits is 784, while the sum is 26.

The square root of 872117 is about 933.8720469101. The cubic root of 872117 is about 95.5413963056.

It can be divided in two parts, 872 and 117, that added together give a palindrome (989).

The spelling of 872117 in words is "eight hundred seventy-two thousand, one hundred seventeen".