257864743 has 2 divisors, whose sum is σ = 257864744. Its totient is φ = 257864742.

The previous prime is 257864731. The next prime is 257864767. The reversal of 257864743 is 347468752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257864743 - 2¹³ = 257856551 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 257864693 and 257864702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (252864743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128932371 + 128932372.

It is an arithmetic number, because the mean of its divisors is an integer number (128932372).

Almost surely, 2^257864743 is an apocalyptic number.

257864743 is a deficient number, since it is larger than the sum of its proper divisors (1).

257864743 is an equidigital number, since it uses as much as digits as its factorization.

257864743 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1128960, while the sum is 46.

The square root of 257864743 is about 16058.1674857376. The cubic root of 257864743 is about 636.4984086432.

The spelling of 257864743 in words is "two hundred fifty-seven million, eight hundred sixty-four thousand, seven hundred forty-three".