13901 has 2 divisors, whose sum is σ = 13902. Its totient is φ = 13900.

The previous prime is 13883. The next prime is 13903. The reversal of 13901 is 10931.

13901 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13225 + 676 = 115^2 + 26^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13901 is a prime.

It is a Sophie Germain prime.

Together with 13903, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6950 + 6951.

It is an arithmetic number, because the mean of its divisors is an integer number (6951).

2¹³⁹⁰¹ is an apocalyptic number.

It is an amenable number.

13901 is a deficient number, since it is larger than the sum of its proper divisors (1).

13901 is an equidigital number, since it uses as much as digits as its factorization.

13901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 13901 is about 117.9025020939. The cubic root of 13901 is about 24.0444777065.

The spelling of 13901 in words is "thirteen thousand, nine hundred one".