257706017 has 2 divisors, whose sum is σ = 257706018. Its totient is φ = 257706016.

The previous prime is 257705989. The next prime is 257706047. The reversal of 257706017 is 710607752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181737361 + 75968656 = 13481^2 + 8716^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257706017 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257706047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128853008 + 128853009.

It is an arithmetic number, because the mean of its divisors is an integer number (128853009).

Almost surely, 2^257706017 is an apocalyptic number.

It is an amenable number.

257706017 is a deficient number, since it is larger than the sum of its proper divisors (1).

257706017 is an equidigital number, since it uses as much as digits as its factorization.

257706017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20580, while the sum is 35.

The square root of 257706017 is about 16053.2245047529. The cubic root of 257706017 is about 636.3677851473.

The spelling of 257706017 in words is "two hundred fifty-seven million, seven hundred six thousand, seventeen".