13806 has 24 divisors (see below), whose sum is σ = 32760. Its totient is φ = 4176.

The previous prime is 13799. The next prime is 13807. The reversal of 13806 is 60831.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807) by changing a digit.

13806 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 11 ways as a sum of consecutive naturals, for example, 205 + ... + 263.

It is an arithmetic number, because the mean of its divisors is an integer number (1365).

2¹³⁸⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 117×118.

It is a practical number, because each smaller number is the sum of distinct divisors of 13806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380).

13806 is an abundant number, since it is smaller than the sum of its proper divisors (18954).

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

13806 is a wasteful number, since it uses less digits than its factorization.

13806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13806 is about 117.4989361654. The cubic root of 13806 is about 23.9895788089.

Adding to 13806 its sum of digits (18), we get a cube (13824 = 24³).

13806 divided by its sum of digits (18) gives a palindrome (767).

The spelling of 13806 in words is "thirteen thousand, eight hundred six".