257641873 has 2 divisors, whose sum is σ = 257641874. Its totient is φ = 257641872.

The previous prime is 257641859. The next prime is 257641897. The reversal of 257641873 is 378146752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150994944 + 106646929 = 12288^2 + 10327^2 .

It is a cyclic number.

It is not a de Polignac number, because 257641873 - 2¹³ = 257633681 is a prime.

It is not a weakly prime, because it can be changed into another prime (257641823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128820936 + 128820937.

It is an arithmetic number, because the mean of its divisors is an integer number (128820937).

Almost surely, 2^257641873 is an apocalyptic number.

It is an amenable number.

257641873 is a deficient number, since it is larger than the sum of its proper divisors (1).

257641873 is an equidigital number, since it uses as much as digits as its factorization.

257641873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 282240, while the sum is 43.

The square root of 257641873 is about 16051.2265263437. The cubic root of 257641873 is about 636.3149826519.

The spelling of 257641873 in words is "two hundred fifty-seven million, six hundred forty-one thousand, eight hundred seventy-three".