13838 has 16 divisors (see below), whose sum is σ = 24624. Its totient is φ = 5760.

The previous prime is 13831. The next prime is 13841. The reversal of 13838 is 83831.

13838 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13831) by changing a digit.

13838 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 7 ways as a sum of consecutive naturals, for example, 356 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (1539).

2¹³⁸³⁸ is an apocalyptic number.

13838 is a deficient number, since it is larger than the sum of its proper divisors (10786).

13838 is a wasteful number, since it uses less digits than its factorization.

13838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67.

The product of its digits is 576, while the sum is 23.

The square root of 13838 is about 117.6350287967. The cubic root of 13838 is about 24.0080991184.

Adding to 13838 its sum of digits (23), we get a triangular number (13861 = T₁₆₆).

The spelling of 13838 in words is "thirteen thousand, eight hundred thirty-eight".