497257 has 2 divisors, whose sum is σ = 497258. Its totient is φ = 497256.

The previous prime is 497239. The next prime is 497261. The reversal of 497257 is 752794.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281961 + 215296 = 531^2 + 464^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-497257 is a prime.

It is not a weakly prime, because it can be changed into another prime (497297) 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, 248628 + 248629.

It is an arithmetic number, because the mean of its divisors is an integer number (248629).

2⁴⁹⁷²⁵⁷ is an apocalyptic number.

It is an amenable number.

497257 is a deficient number, since it is larger than the sum of its proper divisors (1).

497257 is an equidigital number, since it uses as much as digits as its factorization.

497257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17640, while the sum is 34.

The square root of 497257 is about 705.1645198108. The cubic root of 497257 is about 79.2246450018.

The spelling of 497257 in words is "four hundred ninety-seven thousand, two hundred fifty-seven".