11115 has 24 divisors (see below), whose sum is σ = 21840. Its totient is φ = 5184.

The previous prime is 11113. The next prime is 11117. The reversal of 11115 is 51111.

11115 = 23² + 24² + ... + 35².

It is an interprime number because it is at equal distance from previous prime (11113) and next prime (11117).

It is not a de Polignac number, because 11115 - 2¹ = 11113 is a prime.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 11097 and 11106.

It is not an unprimeable number, because it can be changed into a prime (11113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (910).

2¹¹¹¹⁵ is an apocalyptic number.

11115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11115 is a deficient number, since it is larger than the sum of its proper divisors (10725).

11115 is a wasteful number, since it uses less digits than its factorization.

11115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 40 counting only the distinct ones).

The product of its digits is 5, while the sum is 9.

The square root of 11115 is about 105.4277003448. The cubic root of 11115 is about 22.3170347161.

Adding to 11115 its reverse (51111), we get a palindrome (62226).

It can be divided in two parts, 1111 and 5, that multiplied together give a palindrome (5555).

The spelling of 11115 in words is "eleven thousand, one hundred fifteen".