257364973 has 2 divisors, whose sum is σ = 257364974. Its totient is φ = 257364972.

The previous prime is 257364953. The next prime is 257365001. The reversal of 257364973 is 379463752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 233570089 + 23794884 = 15283^2 + 4878^2 .

It is a cyclic number.

It is not a de Polignac number, because 257364973 - 2⁵ = 257364941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257364923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128682486 + 128682487.

It is an arithmetic number, because the mean of its divisors is an integer number (128682487).

Almost surely, 2^257364973 is an apocalyptic number.

It is an amenable number.

257364973 is a deficient number, since it is larger than the sum of its proper divisors (1).

257364973 is an equidigital number, since it uses as much as digits as its factorization.

257364973 is an evil number, because the sum of its binary digits is even.

The product of its digits is 952560, while the sum is 46.

The square root of 257364973 is about 16042.5986984653. The cubic root of 257364973 is about 636.0869415907.

The spelling of 257364973 in words is "two hundred fifty-seven million, three hundred sixty-four thousand, nine hundred seventy-three".