113417 has 2 divisors, whose sum is σ = 113418. Its totient is φ = 113416.

The previous prime is 113383. The next prime is 113437. The reversal of 113417 is 714311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80656 + 32761 = 284^2 + 181^2 .

It is a cyclic number.

It is not a de Polignac number, because 113417 - 2⁸ = 113161 is a prime.

It is a Chen prime.

It is equal to p₁₀₇₄₅ and since 113417 and 10745 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 113395 and 113404.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56708 + 56709.

It is an arithmetic number, because the mean of its divisors is an integer number (56709).

2¹¹³⁴¹⁷ is an apocalyptic number.

It is an amenable number.

113417 is a deficient number, since it is larger than the sum of its proper divisors (1).

113417 is an equidigital number, since it uses as much as digits as its factorization.

113417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84, while the sum is 17.

The square root of 113417 is about 336.7744052032. The cubic root of 113417 is about 48.4052779801.

Adding to 113417 its reverse (714311), we get a palindrome (827728).

The spelling of 113417 in words is "one hundred thirteen thousand, four hundred seventeen".