10117517 has 2 divisors, whose sum is σ = 10117518. Its totient is φ = 10117516.

The previous prime is 10117511. The next prime is 10117531. The reversal of 10117517 is 71571101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9853321 + 264196 = 3139^2 + 514^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10117517 is a prime.

It is a Chen prime.

It is equal to p₆₇₁₉₀₀ and since 10117517 and 671900 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 = 10117492 and 10117501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10117511) 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, 5058758 + 5058759.

It is an arithmetic number, because the mean of its divisors is an integer number (5058759).

Almost surely, 2^10117517 is an apocalyptic number.

It is an amenable number.

10117517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117517 is an equidigital number, since it uses as much as digits as its factorization.

10117517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 245, while the sum is 23.

The square root of 10117517 is about 3180.8044579949. The cubic root of 10117517 is about 216.2841268381.

Adding to 10117517 its reverse (71571101), we get a palindrome (81688618).

The spelling of 10117517 in words is "ten million, one hundred seventeen thousand, five hundred seventeen".