13757 has 2 divisors, whose sum is σ = 13758. Its totient is φ = 13756.

The previous prime is 13751. The next prime is 13759. The reversal of 13757 is 75731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8281 + 5476 = 91^2 + 74^2 .

It is an emirp because it is prime and its reverse (75731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13757 - 2⁶ = 13693 is a prime.

Together with 13759, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6878 + 6879.

It is an arithmetic number, because the mean of its divisors is an integer number (6879).

2¹³⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

13757 is a deficient number, since it is larger than the sum of its proper divisors (1).

13757 is an equidigital number, since it uses as much as digits as its factorization.

13757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 735, while the sum is 23.

The square root of 13757 is about 117.2902382980. The cubic root of 13757 is about 23.9611640428.

The spelling of 13757 in words is "thirteen thousand, seven hundred fifty-seven".