13816 has 16 divisors (see below), whose sum is σ = 28440. Its totient is φ = 6240.

The previous prime is 13807. The next prime is 13829. The reversal of 13816 is 61831.

It is a nialpdrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 13793 and 13802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10 + ... + 166.

2¹³⁸¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220).

13816 is an abundant number, since it is smaller than the sum of its proper divisors (14624).

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

13816 is a wasteful number, since it uses less digits than its factorization.

13816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 13816 is about 117.5414820393. The cubic root of 13816 is about 23.9953694770.

The spelling of 13816 in words is "thirteen thousand, eight hundred sixteen".