256757 has 2 divisors, whose sum is σ = 256758. Its totient is φ = 256756.

The previous prime is 256723. The next prime is 256771. The reversal of 256757 is 757652.

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., 217156 + 39601 = 466^2 + 199^2 .

It is a cyclic number.

It is not a de Polignac number, because 256757 - 2¹⁰ = 255733 is a prime.

It is a Chen prime.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 256757.

It is not a weakly prime, because it can be changed into another prime (256057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128378 + 128379.

It is an arithmetic number, because the mean of its divisors is an integer number (128379).

2²⁵⁶⁷⁵⁷ is an apocalyptic number.

It is an amenable number.

256757 is a deficient number, since it is larger than the sum of its proper divisors (1).

256757 is an equidigital number, since it uses as much as digits as its factorization.

256757 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14700, while the sum is 32.

The square root of 256757 is about 506.7119497308. The cubic root of 256757 is about 63.5585670833.

The spelling of 256757 in words is "two hundred fifty-six thousand, seven hundred fifty-seven".