257202217 has 2 divisors, whose sum is σ = 257202218. Its totient is φ = 257202216.

The previous prime is 257202203. The next prime is 257202229. The reversal of 257202217 is 712202752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199685161 + 57517056 = 14131^2 + 7584^2 .

It is a cyclic number.

It is not a de Polignac number, because 257202217 - 2¹⁹ = 256677929 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257242217) 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, 128601108 + 128601109.

It is an arithmetic number, because the mean of its divisors is an integer number (128601109).

Almost surely, 2^257202217 is an apocalyptic number.

It is an amenable number.

257202217 is a deficient number, since it is larger than the sum of its proper divisors (1).

257202217 is an equidigital number, since it uses as much as digits as its factorization.

257202217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 257202217 is about 16037.5252766753. The cubic root of 257202217 is about 635.9528275140.

Adding to 257202217 its reverse (712202752), we get a palindrome (969404969).

The spelling of 257202217 in words is "two hundred fifty-seven million, two hundred two thousand, two hundred seventeen".