9117 has 6 divisors (see below), whose sum is σ = 13182. Its totient is φ = 6072.

The previous prime is 9109. The next prime is 9127. The reversal of 9117 is 7119.

It can be written as a sum of positive squares in only one way, i.e., 4761 + 4356 = 69^2 + 66^2 .

It is not a de Polignac number, because 9117 - 2³ = 9109 is a prime.

9117 is a lucky number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 9117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 498 + ... + 515.

It is an arithmetic number, because the mean of its divisors is an integer number (2197).

2⁹¹¹⁷ is an apocalyptic number.

It is an amenable number.

9117 is a deficient number, since it is larger than the sum of its proper divisors (4065).

9117 is a wasteful number, since it uses less digits than its factorization.

9117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1016 counting only the distinct ones).

The product of its digits is 63, while the sum is 18.

The square root of 9117 is about 95.4829827770. The cubic root of 9117 is about 20.8905873994.

Adding to 9117 its product of digits (63), we get a triangular number (9180 = T₁₃₅).

The spelling of 9117 in words is "nine thousand, one hundred seventeen".