257867 has 2 divisors, whose sum is σ = 257868. Its totient is φ = 257866.

The previous prime is 257863. The next prime is 257869. The reversal of 257867 is 768752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257867 - 2² = 257863 is a prime.

Together with 257869, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257867.

It is not a weakly prime, because it can be changed into another prime (257861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128933 + 128934.

It is an arithmetic number, because the mean of its divisors is an integer number (128934).

2²⁵⁷⁸⁶⁷ is an apocalyptic number.

257867 is a deficient number, since it is larger than the sum of its proper divisors (1).

257867 is an equidigital number, since it uses as much as digits as its factorization.

257867 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23520, while the sum is 35.

The square root of 257867 is about 507.8060653438. The cubic root of 257867 is about 63.6500265654.

The spelling of 257867 in words is "two hundred fifty-seven thousand, eight hundred sixty-seven".