113017 has 2 divisors, whose sum is σ = 113018. Its totient is φ = 113016.

The previous prime is 113011. The next prime is 113021. The reversal of 113017 is 710311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112896 + 121 = 336^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 113017 - 2¹¹ = 110969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112988 and 113006.

It is not a weakly prime, because it can be changed into another prime (113011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56508 + 56509.

It is an arithmetic number, because the mean of its divisors is an integer number (56509).

2¹¹³⁰¹⁷ is an apocalyptic number.

It is an amenable number.

113017 is a deficient number, since it is larger than the sum of its proper divisors (1).

113017 is an equidigital number, since it uses as much as digits as its factorization.

113017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 13.

The square root of 113017 is about 336.1800113035. The cubic root of 113017 is about 48.3483055743.

Adding to 113017 its reverse (710311), we get a palindrome (823328).

The spelling of 113017 in words is "one hundred thirteen thousand, seventeen".