257084419 has 2 divisors, whose sum is σ = 257084420. Its totient is φ = 257084418.

The previous prime is 257084393. The next prime is 257084423. The reversal of 257084419 is 914480752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257084419 - 2¹⁵ = 257051651 is a prime.

It is a super-2 number, since 2×257084419² = 132184796985135122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257084479) 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, 128542209 + 128542210.

It is an arithmetic number, because the mean of its divisors is an integer number (128542210).

Almost surely, 2^257084419 is an apocalyptic number.

257084419 is a deficient number, since it is larger than the sum of its proper divisors (1).

257084419 is an equidigital number, since it uses as much as digits as its factorization.

257084419 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 257084419 is about 16033.8522819689. The cubic root of 257084419 is about 635.8557243970.

The spelling of 257084419 in words is "two hundred fifty-seven million, eighty-four thousand, four hundred nineteen".