257742323 has 2 divisors, whose sum is σ = 257742324. Its totient is φ = 257742322.

The previous prime is 257742311. The next prime is 257742337. The reversal of 257742323 is 323247752.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 257742323 - 2²⁰ = 256693747 is a prime.

It is a super-2 number, since 2×257742323² = 132862210130872658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (257742223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128871161 + 128871162.

It is an arithmetic number, because the mean of its divisors is an integer number (128871162).

Almost surely, 2^257742323 is an apocalyptic number.

257742323 is a deficient number, since it is larger than the sum of its proper divisors (1).

257742323 is an equidigital number, since it uses as much as digits as its factorization.

257742323 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 70560, while the sum is 35.

The square root of 257742323 is about 16054.3552657838. The cubic root of 257742323 is about 636.3976678850.

The spelling of 257742323 in words is "two hundred fifty-seven million, seven hundred forty-two thousand, three hundred twenty-three".