257711723 has 2 divisors, whose sum is σ = 257711724. Its totient is φ = 257711722.

The previous prime is 257711683. The next prime is 257711731. The reversal of 257711723 is 327117752.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 257711723 - 2¹⁶ = 257646187 is a prime.

It is not a weakly prime, because it can be changed into another prime (257711743) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128855861 + 128855862.

It is an arithmetic number, because the mean of its divisors is an integer number (128855862).

Almost surely, 2^257711723 is an apocalyptic number.

257711723 is a deficient number, since it is larger than the sum of its proper divisors (1).

257711723 is an equidigital number, since it uses as much as digits as its factorization.

257711723 is an evil number, because the sum of its binary digits is even.

The product of its digits is 20580, while the sum is 35.

The square root of 257711723 is about 16053.4022250737. The cubic root of 257711723 is about 636.3724818270.

The spelling of 257711723 in words is "two hundred fifty-seven million, seven hundred eleven thousand, seven hundred twenty-three".