108717 has 16 divisors (see below), whose sum is σ = 172032. Its totient is φ = 59760.

The previous prime is 108709. The next prime is 108727. The reversal of 108717 is 717801.

It is not a de Polignac number, because 108717 - 2³ = 108709 is a prime.

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 108717.

It is not an unprimeable number, because it can be changed into a prime (108707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568 + ... + 734.

It is an arithmetic number, because the mean of its divisors is an integer number (10752).

2¹⁰⁸⁷¹⁷ is an apocalyptic number.

It is an amenable number.

108717 is a deficient number, since it is larger than the sum of its proper divisors (63315).

108717 is a wasteful number, since it uses less digits than its factorization.

108717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 392, while the sum is 24.

The square root of 108717 is about 329.7226106897. The cubic root of 108717 is about 47.7271849926.

It can be divided in two parts, 10871 and 7, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 108717 in words is "one hundred eight thousand, seven hundred seventeen".