13937 has 8 divisors (see below), whose sum is σ = 17472. Its totient is φ = 10800.

The previous prime is 13933. The next prime is 13963. The reversal of 13937 is 73931.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13937 - 2² = 13933 is a prime.

It is a nialpdrome in base 7 and base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 13937.

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, 14 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (2184).

2¹³⁹³⁷ is an apocalyptic number.

It is an amenable number.

13937 is a deficient number, since it is larger than the sum of its proper divisors (3535).

13937 is a wasteful number, since it uses less digits than its factorization.

13937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its digits is 567, while the sum is 23.

The square root of 13937 is about 118.0550718944. The cubic root of 13937 is about 24.0652161436.

The spelling of 13937 in words is "thirteen thousand, nine hundred thirty-seven".