257429717 has 2 divisors, whose sum is σ = 257429718. Its totient is φ = 257429716.

The previous prime is 257429681. The next prime is 257429737. The reversal of 257429717 is 717924752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162970756 + 94458961 = 12766^2 + 9719^2 .

It is a cyclic number.

It is not a de Polignac number, because 257429717 - 2²² = 253235413 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 (257429737) 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, 128714858 + 128714859.

It is an arithmetic number, because the mean of its divisors is an integer number (128714859).

Almost surely, 2^257429717 is an apocalyptic number.

It is an amenable number.

257429717 is a deficient number, since it is larger than the sum of its proper divisors (1).

257429717 is an equidigital number, since it uses as much as digits as its factorization.

257429717 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 246960, while the sum is 44.

The square root of 257429717 is about 16044.6164491396. The cubic root of 257429717 is about 636.1402761731.

The spelling of 257429717 in words is "two hundred fifty-seven million, four hundred twenty-nine thousand, seven hundred seventeen".