13686 has 8 divisors (see below), whose sum is σ = 27384. Its totient is φ = 4560.

The previous prime is 13681. The next prime is 13687. The reversal of 13686 is 68631.

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

13686 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13681) by changing a digit.

13686 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1135 + ... + 1146.

It is an arithmetic number, because the mean of its divisors is an integer number (3423).

2¹³⁶⁸⁶ is an apocalyptic number.

13686 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13692).

13686 is a wasteful number, since it uses less digits than its factorization.

13686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286.

The product of its digits is 864, while the sum is 24.

The square root of 13686 is about 116.9871787847. The cubic root of 13686 is about 23.9198716637.

Subtracting 13686 from its reverse (68631), we obtain a palindrome (54945).

It can be divided in two parts, 136 and 86, that added together give a palindrome (222).

The spelling of 13686 in words is "thirteen thousand, six hundred eighty-six".