5517 has 6 divisors (see below), whose sum is σ = 7982. Its totient is φ = 3672.

The previous prime is 5507. The next prime is 5519. The reversal of 5517 is 7155.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 2601 = 54^2 + 51^2 .

It is not a de Polignac number, because 5517 - 2⁴ = 5501 is a prime.

It is a super-5 number, since 5×5517⁵ = 25555531873653736785, which contains 55555 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 5517.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5517.

It is not an unprimeable number, because it can be changed into a prime (5519) 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 in 5 ways as a sum of consecutive naturals, for example, 298 + ... + 315.

2⁵⁵¹⁷ is an apocalyptic number.

It is an amenable number.

5517 is a deficient number, since it is larger than the sum of its proper divisors (2465).

5517 is a wasteful number, since it uses less digits than its factorization.

5517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 616 counting only the distinct ones).

The product of its digits is 175, while the sum is 18.

The square root of 5517 is about 74.2765104188. The cubic root of 5517 is about 17.6699096139.

The spelling of 5517 in words is "five thousand, five hundred seventeen".