517 has 4 divisors (see below), whose sum is σ = 576. Its totient is φ = 460.

The previous prime is 509. The next prime is 521. The reversal of 517 is 715.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 517 - 2³ = 509 is a prime.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

517 is a lucky number.

It is a plaindrome in base 7, base 14 and base 15.

It is a nialpdrome in base 6 and base 11.

It is a junction number, because it is equal to n+sod(n) for n = 497 and 506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13 + ... + 34.

It is an arithmetic number, because the mean of its divisors is an integer number (144).

It is an amenable number.

517 is a deficient number, since it is larger than the sum of its proper divisors (59).

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

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

The sum of its prime factors is 58.

The product of its digits is 35, while the sum is 13.

The square root of 517 is about 22.7376340018. The cubic root of 517 is about 8.0259573526.

It can be divided in two parts, 5 and 17, that added together give a palindrome (22).

The spelling of 517 in words is "five hundred seventeen", and thus it is an aban number and an oban number.