257345789 has 2 divisors, whose sum is σ = 257345790. Its totient is φ = 257345788.

The previous prime is 257345761. The next prime is 257345801. The reversal of 257345789 is 987543752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 257345764 + 25 = 16042^2 + 5^2 .

It is a cyclic number.

It is not a de Polignac number, because 257345789 - 2⁸ = 257345533 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257345719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128672894 + 128672895.

It is an arithmetic number, because the mean of its divisors is an integer number (128672895).

Almost surely, 2^257345789 is an apocalyptic number.

It is an amenable number.

257345789 is a deficient number, since it is larger than the sum of its proper divisors (1).

257345789 is an equidigital number, since it uses as much as digits as its factorization.

257345789 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2116800, while the sum is 50.

The square root of 257345789 is about 16042.0007792046. Note that the first 3 decimals coincide. The cubic root of 257345789 is about 636.0711365455.

The spelling of 257345789 in words is "two hundred fifty-seven million, three hundred forty-five thousand, seven hundred eighty-nine".