5117 has 8 divisors (see below), whose sum is σ = 6336. Its totient is φ = 4032.

The previous prime is 5113. The next prime is 5119. The reversal of 5117 is 7115.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 5117 - 2² = 5113 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5113) 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, 98 + ... + 140.

It is an arithmetic number, because the mean of its divisors is an integer number (792).

2⁵¹¹⁷ is an apocalyptic number.

It is an amenable number.

5117 is a deficient number, since it is larger than the sum of its proper divisors (1219).

5117 is a wasteful number, since it uses less digits than its factorization.

5117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67.

The product of its digits is 35, while the sum is 14.

The square root of 5117 is about 71.5332090710. The cubic root of 5117 is about 17.2321105584.

It can be divided in two parts, 5 and 117, that multiplied together give a palindrome (585).

The spelling of 5117 in words is "five thousand, one hundred seventeen".