5116 has 6 divisors (see below), whose sum is σ = 8960. Its totient is φ = 2556.

The previous prime is 5113. The next prime is 5119. The reversal of 5116 is 6115.

5116 = T₂₃ + T₂₄ + ... + T₃₄.

It is an interprime number because it is at equal distance from previous prime (5113) and next prime (5119).

It is a junction number, because it is equal to n+sod(n) for n = 5096 and 5105.

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 as a sum of consecutive naturals, namely, 636 + ... + 643.

2⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

5116 is a deficient number, since it is larger than the sum of its proper divisors (3844).

5116 is a wasteful number, since it uses less digits than its factorization.

5116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1281 counting only the distinct ones).

The product of its digits is 30, while the sum is 13.

The square root of 5116 is about 71.5262189690. The cubic root of 5116 is about 17.2309879453.

Subtracting 5116 from its reverse (6115), we obtain a palindrome (999).

It can be divided in two parts, 5 and 116, that added together give a palindrome (121).

The spelling of 5116 in words is "five thousand, one hundred sixteen".