257782997 has 2 divisors, whose sum is σ = 257782998. Its totient is φ = 257782996.

The previous prime is 257782991. The next prime is 257783021. The reversal of 257782997 is 799287752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 157602916 + 100180081 = 12554^2 + 10009^2 .

It is a cyclic number.

It is not a de Polignac number, because 257782997 - 2⁴ = 257782981 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 (257782991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128891498 + 128891499.

It is an arithmetic number, because the mean of its divisors is an integer number (128891499).

Almost surely, 2^257782997 is an apocalyptic number.

It is an amenable number.

257782997 is a deficient number, since it is larger than the sum of its proper divisors (1).

257782997 is an equidigital number, since it uses as much as digits as its factorization.

257782997 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4445280, while the sum is 56.

The square root of 257782997 is about 16055.6219748722. The cubic root of 257782997 is about 636.4311425028.

The spelling of 257782997 in words is "two hundred fifty-seven million, seven hundred eighty-two thousand, nine hundred ninety-seven".