11715 has 16 divisors (see below), whose sum is σ = 20736. Its totient is φ = 5600.

The previous prime is 11701. The next prime is 11717. The reversal of 11715 is 51711.

11715 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11715 - 2⁴ = 11699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a nialpdrome in base 5 and base 13.

It is a junction number, because it is equal to n+sod(n) for n = 11694 and 11703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11717) 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, 130 + ... + 200.

It is an arithmetic number, because the mean of its divisors is an integer number (1296).

2¹¹⁷¹⁵ is an apocalyptic number.

11715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11715 is a deficient number, since it is larger than the sum of its proper divisors (9021).

11715 is a wasteful number, since it uses less digits than its factorization.

11715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90.

The product of its digits is 35, while the sum is 15.

The square root of 11715 is about 108.2358535791. The cubic root of 11715 is about 22.7115843245.

It can be divided in two parts, 1171 and 5, that added together give a triangular number (1176 = T₄₈).

The spelling of 11715 in words is "eleven thousand, seven hundred fifteen".