5115 has 16 divisors (see below), whose sum is σ = 9216. Its totient is φ = 2400.

The previous prime is 5113. The next prime is 5119.

5115 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5115 - 2¹ = 5113 is a prime.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 5115.

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 15 ways as a sum of consecutive naturals, for example, 150 + ... + 180.

It is an arithmetic number, because the mean of its divisors is an integer number (576).

2⁵¹¹⁵ is an apocalyptic number.

5115 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5115 is a deficient number, since it is larger than the sum of its proper divisors (4101).

5115 is a wasteful number, since it uses less digits than its factorization.

5115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50.

The product of its digits is 25, while the sum is 12.

The square root of 5115 is about 71.5192281838. The cubic root of 5115 is about 17.2298651859.

It can be divided in two parts, 51 and 15, that added together give a palindrome (66).

The spelling of 5115 in words is "five thousand, one hundred fifteen".