257219 has 2 divisors, whose sum is σ = 257220. Its totient is φ = 257218.

The previous prime is 257189. The next prime is 257221. The reversal of 257219 is 912752.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257219 is a prime.

It is a super-2 number, since 2×257219² = 132323227922, which contains 22 as substring.

Together with 257221, 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 257219.

It is not a weakly prime, because it can be changed into another prime (257239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128609 + 128610.

It is an arithmetic number, because the mean of its divisors is an integer number (128610).

2²⁵⁷²¹⁹ is an apocalyptic number.

257219 is a deficient number, since it is larger than the sum of its proper divisors (1).

257219 is an equidigital number, since it uses as much as digits as its factorization.

257219 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1260, while the sum is 26.

The square root of 257219 is about 507.1676251497. The cubic root of 257219 is about 63.5966659645.

The spelling of 257219 in words is "two hundred fifty-seven thousand, two hundred nineteen".