257082167 has 2 divisors, whose sum is σ = 257082168. Its totient is φ = 257082166.

The previous prime is 257082131. The next prime is 257082169. The reversal of 257082167 is 761280752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257082167 - 2⁸ = 257081911 is a prime.

Together with 257082169, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257082167.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257082169) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128541083 + 128541084.

It is an arithmetic number, because the mean of its divisors is an integer number (128541084).

Almost surely, 2^257082167 is an apocalyptic number.

257082167 is a deficient number, since it is larger than the sum of its proper divisors (1).

257082167 is an equidigital number, since it uses as much as digits as its factorization.

257082167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 257082167 is about 16033.7820553979. The cubic root of 257082167 is about 635.8538677420.

The spelling of 257082167 in words is "two hundred fifty-seven million, eighty-two thousand, one hundred sixty-seven".