257698241 has 2 divisors, whose sum is σ = 257698242. Its totient is φ = 257698240.

The previous prime is 257698213. The next prime is 257698247. The reversal of 257698241 is 142896752.

It is a happy number.

257698241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255360400 + 2337841 = 15980^2 + 1529^2 .

It is a cyclic number.

It is not a de Polignac number, because 257698241 - 2¹⁰ = 257697217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257698192 and 257698201.

It is not a weakly prime, because it can be changed into another prime (257698247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128849120 + 128849121.

It is an arithmetic number, because the mean of its divisors is an integer number (128849121).

Almost surely, 2^257698241 is an apocalyptic number.

It is an amenable number.

257698241 is a deficient number, since it is larger than the sum of its proper divisors (1).

257698241 is an equidigital number, since it uses as much as digits as its factorization.

257698241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 241920, while the sum is 44.

The square root of 257698241 is about 16052.9823085930. The cubic root of 257698241 is about 636.3613845134.

The spelling of 257698241 in words is "two hundred fifty-seven million, six hundred ninety-eight thousand, two hundred forty-one".