257461327 has 2 divisors, whose sum is σ = 257461328. Its totient is φ = 257461326.

The previous prime is 257461319. The next prime is 257461349. The reversal of 257461327 is 723164752.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257461327 - 2³ = 257461319 is a prime.

It is a super-3 number, since 3×257461327³ (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257461307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128730663 + 128730664.

It is an arithmetic number, because the mean of its divisors is an integer number (128730664).

Almost surely, 2^257461327 is an apocalyptic number.

257461327 is a deficient number, since it is larger than the sum of its proper divisors (1).

257461327 is an equidigital number, since it uses as much as digits as its factorization.

257461327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 37.

The square root of 257461327 is about 16045.6014845191. The cubic root of 257461327 is about 636.1663124979.

The spelling of 257461327 in words is "two hundred fifty-seven million, four hundred sixty-one thousand, three hundred twenty-seven".