18117 has 16 divisors (see below), whose sum is σ = 29760. Its totient is φ = 10800.

The previous prime is 18097. The next prime is 18119. The reversal of 18117 is 71181.

It is not a de Polignac number, because 18117 - 2⁷ = 17989 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 18117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (1860).

2¹⁸¹¹⁷ is an apocalyptic number.

It is an amenable number.

18117 is a deficient number, since it is larger than the sum of its proper divisors (11643).

18117 is a wasteful number, since it uses less digits than its factorization.

18117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 75 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 18117 is about 134.5994056450. The cubic root of 18117 is about 26.2640740854.

Adding to 18117 its reverse (71181), we get a palindrome (89298).

It can be divided in two parts, 1 and 8117, that added together give a palindrome (8118).

The spelling of 18117 in words is "eighteen thousand, one hundred seventeen".