257601997 has 2 divisors, whose sum is σ = 257601998. Its totient is φ = 257601996.

The previous prime is 257601991. The next prime is 257602013. The reversal of 257601997 is 799106752.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 249197796 + 8404201 = 15786^2 + 2899^2 .

It is a cyclic number.

It is not a de Polignac number, because 257601997 - 2¹¹ = 257599949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257601991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128800998 + 128800999.

It is an arithmetic number, because the mean of its divisors is an integer number (128800999).

Almost surely, 2^257601997 is an apocalyptic number.

It is an amenable number.

257601997 is a deficient number, since it is larger than the sum of its proper divisors (1).

257601997 is an equidigital number, since it uses as much as digits as its factorization.

257601997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 238140, while the sum is 46.

The square root of 257601997 is about 16049.9843302104. The cubic root of 257601997 is about 636.2821528365.

The spelling of 257601997 in words is "two hundred fifty-seven million, six hundred one thousand, nine hundred ninety-seven".