257933441 has 2 divisors, whose sum is σ = 257933442. Its totient is φ = 257933440.

The previous prime is 257933413. The next prime is 257933449. The reversal of 257933441 is 144339752.

257933441 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., 152275600 + 105657841 = 12340^2 + 10279^2 .

It is a cyclic number.

It is not a de Polignac number, because 257933441 - 2¹⁴ = 257917057 is a prime.

It is a super-2 number, since 2×257933441² = 133059319972200962, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 257933395 and 257933404.

It is not a weakly prime, because it can be changed into another prime (257933449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128966720 + 128966721.

It is an arithmetic number, because the mean of its divisors is an integer number (128966721).

Almost surely, 2^257933441 is an apocalyptic number.

It is an amenable number.

257933441 is a deficient number, since it is larger than the sum of its proper divisors (1).

257933441 is an equidigital number, since it uses as much as digits as its factorization.

257933441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 90720, while the sum is 38.

The square root of 257933441 is about 16060.3063793939. The cubic root of 257933441 is about 636.5549270137.

The spelling of 257933441 in words is "two hundred fifty-seven million, nine hundred thirty-three thousand, four hundred forty-one".