113517 has 6 divisors (see below), whose sum is σ = 163982. Its totient is φ = 75672.

The previous prime is 113513. The next prime is 113537. The reversal of 113517 is 715311.

Added to its reverse (715311) it gives a triangular number (828828 = T₁₂₈₇).

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 93636 + 19881 = 306^2 + 141^2 .

It is not a de Polignac number, because 113517 - 2² = 113513 is a prime.

It is a super-2 number, since 2×113517² = 25772218578, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 8.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 113517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113513) 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, 6298 + ... + 6315.

2¹¹³⁵¹⁷ is an apocalyptic number.

It is an amenable number.

113517 is a deficient number, since it is larger than the sum of its proper divisors (50465).

113517 is a wasteful number, since it uses less digits than its factorization.

113517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12619 (or 12616 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 113517 is about 336.9228398313. The cubic root of 113517 is about 48.4195001451.

Adding to 113517 its reverse (715311), we get a palindrome (828828).

It can be divided in two parts, 113 and 517, that added together give a triangular number (630 = T₃₅).

The spelling of 113517 in words is "one hundred thirteen thousand, five hundred seventeen".