12757 has 2 divisors, whose sum is σ = 12758. Its totient is φ = 12756.

The previous prime is 12743. The next prime is 12763. The reversal of 12757 is 75721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11236 + 1521 = 106^2 + 39^2 .

It is an emirp because it is prime and its reverse (75721) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12757 - 2¹¹ = 10709 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 (12157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6378 + 6379.

It is an arithmetic number, because the mean of its divisors is an integer number (6379).

2¹²⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

12757 is a deficient number, since it is larger than the sum of its proper divisors (1).

12757 is an equidigital number, since it uses as much as digits as its factorization.

12757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 490, while the sum is 22.

The square root of 12757 is about 112.9468901741. The cubic root of 12757 is about 23.3659181931.

The spelling of 12757 in words is "twelve thousand, seven hundred fifty-seven".