257892097 has 2 divisors, whose sum is σ = 257892098. Its totient is φ = 257892096.

The previous prime is 257892071. The next prime is 257892101. The reversal of 257892097 is 790298752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218566656 + 39325441 = 14784^2 + 6271^2 .

It is a cyclic number.

It is not a de Polignac number, because 257892097 - 2⁷ = 257891969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 257892097.

It is not a weakly prime, because it can be changed into another prime (257892017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128946048 + 128946049.

It is an arithmetic number, because the mean of its divisors is an integer number (128946049).

Almost surely, 2^257892097 is an apocalyptic number.

It is an amenable number.

257892097 is a deficient number, since it is larger than the sum of its proper divisors (1).

257892097 is an equidigital number, since it uses as much as digits as its factorization.

257892097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 49.

The square root of 257892097 is about 16059.0191792650. The cubic root of 257892097 is about 636.5209141910.

The spelling of 257892097 in words is "two hundred fifty-seven million, eight hundred ninety-two thousand, ninety-seven".