13936 has 20 divisors (see below), whose sum is σ = 29512. Its totient is φ = 6336.

The previous prime is 13933. The next prime is 13963. The reversal of 13936 is 63931.

13936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13931) by changing a digit.

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, 175 + ... + 241.

2¹³⁹³⁶ is an apocalyptic number.

13936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14756).

13936 is an abundant number, since it is smaller than the sum of its proper divisors (15576).

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

13936 is a wasteful number, since it uses less digits than its factorization.

13936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its digits is 486, while the sum is 22.

The square root of 13936 is about 118.0508365070. The cubic root of 13936 is about 24.0646405584.

It can be divided in two parts, 13 and 936, that added together give a palindrome (949).

The spelling of 13936 in words is "thirteen thousand, nine hundred thirty-six".