257967257 has 2 divisors, whose sum is σ = 257967258. Its totient is φ = 257967256.

The previous prime is 257967253. The next prime is 257967373. The reversal of 257967257 is 752769752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178917376 + 79049881 = 13376^2 + 8891^2 .

It is a cyclic number.

It is not a de Polignac number, because 257967257 - 2² = 257967253 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (257967251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128983628 + 128983629.

It is an arithmetic number, because the mean of its divisors is an integer number (128983629).

Almost surely, 2^257967257 is an apocalyptic number.

It is an amenable number.

257967257 is a deficient number, since it is larger than the sum of its proper divisors (1).

257967257 is an equidigital number, since it uses as much as digits as its factorization.

257967257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1852200, while the sum is 50.

The square root of 257967257 is about 16061.3591267987. The cubic root of 257967257 is about 636.5827440101.

The spelling of 257967257 in words is "two hundred fifty-seven million, nine hundred sixty-seven thousand, two hundred fifty-seven".