257949697 has 2 divisors, whose sum is σ = 257949698. Its totient is φ = 257949696.

The previous prime is 257949691. The next prime is 257949701. The reversal of 257949697 is 796949752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217385536 + 40564161 = 14744^2 + 6369^2 .

It is a cyclic number.

It is not a de Polignac number, because 257949697 - 2²³ = 249561089 is a prime.

It is not a weakly prime, because it can be changed into another prime (257949691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128974848 + 128974849.

It is an arithmetic number, because the mean of its divisors is an integer number (128974849).

It is a Proth number, since it is equal to 123 ⋅ 2²¹ + 1 and 123 < 2²¹.

Almost surely, 2^257949697 is an apocalyptic number.

It is an amenable number.

257949697 is a deficient number, since it is larger than the sum of its proper divisors (1).

257949697 is an equidigital number, since it uses as much as digits as its factorization.

257949697 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8573040, while the sum is 58.

The square root of 257949697 is about 16060.8124638824. The cubic root of 257949697 is about 636.5682994810.

The spelling of 257949697 in words is "two hundred fifty-seven million, nine hundred forty-nine thousand, six hundred ninety-seven".