13837 has 4 divisors (see below), whose sum is σ = 14076. Its totient is φ = 13600.

The previous prime is 13831. The next prime is 13841. The reversal of 13837 is 73831.

13837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 11236 + 2601 = 106^2 + 51^2 .

It is a cyclic number.

It is not a de Polignac number, because 13837 - 2³ = 13829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831) 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, 33 + ... + 169.

It is an arithmetic number, because the mean of its divisors is an integer number (3519).

2¹³⁸³⁷ is an apocalyptic number.

It is an amenable number.

13837 is a deficient number, since it is larger than the sum of its proper divisors (239).

13837 is a wasteful number, since it uses less digits than its factorization.

13837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238.

The product of its digits is 504, while the sum is 22.

The square root of 13837 is about 117.6307782853. The cubic root of 13837 is about 24.0075207911.

Adding to 13837 its product of digits (504), we get a palindrome (14341).

The spelling of 13837 in words is "thirteen thousand, eight hundred thirty-seven".