113117 has 2 divisors, whose sum is σ = 113118. Its totient is φ = 113116.

The previous prime is 113111. The next prime is 113123. The reversal of 113117 is 711311.

It is a balanced prime because it is at equal distance from previous prime (113111) and next prime (113123).

It can be written as a sum of positive squares in only one way, i.e., 89401 + 23716 = 299^2 + 154^2 .

It is a cyclic number.

It is not a de Polignac number, because 113117 - 2¹⁶ = 47581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56558 + 56559.

It is an arithmetic number, because the mean of its divisors is an integer number (56559).

2¹¹³¹¹⁷ is an apocalyptic number.

It is an amenable number.

113117 is a deficient number, since it is larger than the sum of its proper divisors (1).

113117 is an equidigital number, since it uses as much as digits as its factorization.

113117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 21, while the sum is 14.

The square root of 113117 is about 336.3287082602. The cubic root of 113117 is about 48.3625612623.

Adding to 113117 its reverse (711311), we get a palindrome (824428).

The spelling of 113117 in words is "one hundred thirteen thousand, one hundred seventeen".