2115 has 12 divisors (see below), whose sum is σ = 3744. Its totient is φ = 1104.

The previous prime is 2113. The next prime is 2129. The reversal of 2115 is 5112.

It is a happy number.

It is a Cunningham number, because it is equal to 46²-1.

It is not a de Polignac number, because 2115 - 2¹ = 2113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

2115 is a lucky number.

It is a nialpdrome in base 7, base 15 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2097 and 2106.

It is not an unprimeable number, because it can be changed into a prime (2111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22 + ... + 68.

It is an arithmetic number, because the mean of its divisors is an integer number (312).

2²¹¹⁵ is an apocalyptic number.

2115 is a deficient number, since it is larger than the sum of its proper divisors (1629).

2115 is a wasteful number, since it uses less digits than its factorization.

2115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 55 counting only the distinct ones).

The product of its digits is 10, while the sum is 9.

The square root of 2115 is about 45.9891291503. The cubic root of 2115 is about 12.8362093215.

Adding to 2115 its reverse (5112), we get a palindrome (7227).

It can be divided in two parts, 211 and 5, that added together give a cube (216 = 6³).

The spelling of 2115 in words is "two thousand, one hundred fifteen".