6517 has 8 divisors (see below), whose sum is σ = 8000. Its totient is φ = 5292.

The previous prime is 6491. The next prime is 6521. The reversal of 6517 is 7156.

It is not a de Polignac number, because 6517 - 2⁷ = 6389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 6494 and 6503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 334 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (1000).

2⁶⁵¹⁷ is an apocalyptic number.

It is an amenable number.

6517 is a deficient number, since it is larger than the sum of its proper divisors (1483).

6517 is an equidigital number, since it uses as much as digits as its factorization.

6517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 26 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 6517 is about 80.7279381627. The cubic root of 6517 is about 18.6788115411.

6517 divided by its sum of digits (19) gives a palindrome (343).

The spelling of 6517 in words is "six thousand, five hundred seventeen".