257247017 has 2 divisors, whose sum is σ = 257247018. Its totient is φ = 257247016.

The previous prime is 257246993. The next prime is 257247037. The reversal of 257247017 is 710742752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254370601 + 2876416 = 15949^2 + 1696^2 .

It is a cyclic number.

It is not a de Polignac number, because 257247017 - 2¹⁸ = 256984873 is a prime.

It is not a weakly prime, because it can be changed into another prime (257247037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128623508 + 128623509.

It is an arithmetic number, because the mean of its divisors is an integer number (128623509).

Almost surely, 2^257247017 is an apocalyptic number.

It is an amenable number.

257247017 is a deficient number, since it is larger than the sum of its proper divisors (1).

257247017 is an equidigital number, since it uses as much as digits as its factorization.

257247017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27440, while the sum is 35.

The square root of 257247017 is about 16038.9219400806. The cubic root of 257247017 is about 635.9897492184.

Adding to 257247017 its reverse (710742752), we get a palindrome (967989769).

The spelling of 257247017 in words is "two hundred fifty-seven million, two hundred forty-seven thousand, seventeen".