13736 has 16 divisors (see below), whose sum is σ = 27540. Its totient is φ = 6400.

The previous prime is 13729. The next prime is 13751. The reversal of 13736 is 63731.

13736 = 20^{2} + 21^{2} + ... + 36^{2}.

13736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11236 + 2500 = 106^2 + 50^2 .

13736 is an admirable number.

It is a congruent number.

It is an unprimeable number.

13736 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86 + ... + 186.

2^{13736} is an apocalyptic number.

13736 is the 68-th octagonal number.

It is an amenable number.

13736 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 (13770).

13736 is a wasteful number, since it uses less digits than its factorization.

13736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its digits is 378, while the sum is 20.

The square root of 13736 is about 117.2006825919. The cubic root of 13736 is about 23.9489656299.

The spelling of 13736 in words is "thirteen thousand, seven hundred thirty-six".

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