257797 has 2 divisors, whose sum is σ = 257798. Its totient is φ = 257796.

The previous prime is 257791. The next prime is 257837. The reversal of 257797 is 797752.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 159201 + 98596 = 399^2 + 314^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-257797 is a prime.

It is a Chen prime.

257797 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (257791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 128898 + 128899.

It is an arithmetic number, because the mean of its divisors is an integer number (128899).

2²⁵⁷⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

257797 is a deficient number, since it is larger than the sum of its proper divisors (1).

257797 is an equidigital number, since it uses as much as digits as its factorization.

257797 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30870, while the sum is 37.

The square root of 257797 is about 507.7371367154. The cubic root of 257797 is about 63.6442666128.

The spelling of 257797 in words is "two hundred fifty-seven thousand, seven hundred ninety-seven".