115117 has 2 divisors, whose sum is σ = 115118. Its totient is φ = 115116.

The previous prime is 115099. The next prime is 115123. The reversal of 115117 is 711511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114921 + 196 = 339^2 + 14^2 .

It is a cyclic number.

It is not a de Polignac number, because 115117 - 2¹⁵ = 82349 is a prime.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 115117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57558 + 57559.

It is an arithmetic number, because the mean of its divisors is an integer number (57559).

2¹¹⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

115117 is a deficient number, since it is larger than the sum of its proper divisors (1).

115117 is an equidigital number, since it uses as much as digits as its factorization.

115117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35, while the sum is 16.

The square root of 115117 is about 339.2889623905. The cubic root of 115117 is about 48.6459274448.

Adding to 115117 its reverse (711511), we get a palindrome (826628).

It can be divided in two parts, 115 and 117, that added together give a palindrome (232).

The spelling of 115117 in words is "one hundred fifteen thousand, one hundred seventeen".