13938 has 16 divisors (see below), whose sum is σ = 29376. Its totient is φ = 4400.

The previous prime is 13933. The next prime is 13963. The reversal of 13938 is 83931.

It is a nialpdrome in base 7 and base 11.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (1836).

13938 is an abundant number, since it is smaller than the sum of its proper divisors (15438).

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 (14688).

13938 is a wasteful number, since it uses less digits than its factorization.

13938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129.

The product of its digits is 648, while the sum is 24.

The square root of 13938 is about 118.0593071299. The cubic root of 13938 is about 24.0657917013.

The spelling of 13938 in words is "thirteen thousand, nine hundred thirty-eight".