11687 has 8 divisors (see below), whose sum is σ = 13440. Its totient is φ = 10080.

The previous prime is 11681. The next prime is 11689. The reversal of 11687 is 78611.

11687 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11687 - 2¹⁰ = 10663 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 5, base 11 and base 13.

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (1680).

2¹¹⁶⁸⁷ is an apocalyptic number.

11687 is a deficient number, since it is larger than the sum of its proper divisors (1753).

11687 is a wasteful number, since it uses less digits than its factorization.

11687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73.

The product of its digits is 336, while the sum is 23.

The square root of 11687 is about 108.1064290410. The cubic root of 11687 is about 22.6934755842.

Subtracting from 11687 its sum of digits (23), we obtain a square (11664 = 108²).

It can be divided in two parts, 11 and 687, that multiplied together give a palindrome (7557).

The spelling of 11687 in words is "eleven thousand, six hundred eighty-seven".