257844241 has 2 divisors, whose sum is σ = 257844242. Its totient is φ = 257844240.

The previous prime is 257844227. The next prime is 257844247. The reversal of 257844241 is 142448752.

257844241 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., 224250625 + 33593616 = 14975^2 + 5796^2 .

It is a cyclic number.

It is not a de Polignac number, because 257844241 - 2²⁵ = 224289809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257844241.

It is not a weakly prime, because it can be changed into another prime (257844247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128922120 + 128922121.

It is an arithmetic number, because the mean of its divisors is an integer number (128922121).

Almost surely, 2^257844241 is an apocalyptic number.

It is an amenable number.

257844241 is a deficient number, since it is larger than the sum of its proper divisors (1).

257844241 is an equidigital number, since it uses as much as digits as its factorization.

257844241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 71680, while the sum is 37.

The square root of 257844241 is about 16057.5291063102. The cubic root of 257844241 is about 636.4815395461.

The spelling of 257844241 in words is "two hundred fifty-seven million, eight hundred forty-four thousand, two hundred forty-one".