257672797 has 2 divisors, whose sum is σ = 257672798. Its totient is φ = 257672796.

The previous prime is 257672783. The next prime is 257672809. The reversal of 257672797 is 797276752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186759556 + 70913241 = 13666^2 + 8421^2 .

It is a cyclic number.

It is not a de Polignac number, because 257672797 - 2¹⁵ = 257640029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257672747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128836398 + 128836399.

It is an arithmetic number, because the mean of its divisors is an integer number (128836399).

Almost surely, 2^257672797 is an apocalyptic number.

It is an amenable number.

257672797 is a deficient number, since it is larger than the sum of its proper divisors (1).

257672797 is an equidigital number, since it uses as much as digits as its factorization.

257672797 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2593080, while the sum is 52.

The square root of 257672797 is about 16052.1897883124. The cubic root of 257672797 is about 636.3404399751.

The spelling of 257672797 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, seven hundred ninety-seven".