13751 has 2 divisors, whose sum is σ = 13752. Its totient is φ = 13750.

The previous prime is 13729. The next prime is 13757. The reversal of 13751 is 15731.

It is a strong prime.

It is an emirp because it is prime and its reverse (15731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13751 - 2⁶ = 13687 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6875 + 6876.

It is an arithmetic number, because the mean of its divisors is an integer number (6876).

2¹³⁷⁵¹ is an apocalyptic number.

13751 is a deficient number, since it is larger than the sum of its proper divisors (1).

13751 is an equidigital number, since it uses as much as digits as its factorization.

13751 is an evil number, because the sum of its binary digits is even.

The product of its digits is 105, while the sum is 17.

The square root of 13751 is about 117.2646579324. The cubic root of 13751 is about 23.9576800494.

The spelling of 13751 in words is "thirteen thousand, seven hundred fifty-one".