12517 has 2 divisors, whose sum is σ = 12518. Its totient is φ = 12516.

The previous prime is 12511. The next prime is 12527. The reversal of 12517 is 71521.

12517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12321 + 196 = 111^2 + 14^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6258 + 6259.

It is an arithmetic number, because the mean of its divisors is an integer number (6259).

2¹²⁵¹⁷ is an apocalyptic number.

It is an amenable number.

12517 is a deficient number, since it is larger than the sum of its proper divisors (1).

12517 is an equidigital number, since it uses as much as digits as its factorization.

12517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70, while the sum is 16.

The square root of 12517 is about 111.8793993548. The cubic root of 12517 is about 23.2184603369.

It can be divided in two parts, 12 and 517, that added together give a square (529 = 23²).

The spelling of 12517 in words is "twelve thousand, five hundred seventeen".