257211 has 6 divisors (see below), whose sum is σ = 371540. Its totient is φ = 171468.

The previous prime is 257189. The next prime is 257219. The reversal of 257211 is 112752.

It is not a de Polignac number, because 257211 - 2⁹ = 256699 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257211.

It is not an unprimeable number, because it can be changed into a prime (257219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14281 + ... + 14298.

2²⁵⁷²¹¹ is an apocalyptic number.

257211 is a deficient number, since it is larger than the sum of its proper divisors (114329).

257211 is a wasteful number, since it uses less digits than its factorization.

257211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28585 (or 28582 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 257211 is about 507.1597381496. The cubic root of 257211 is about 63.5960066319.

Adding to 257211 its reverse (112752), we get a palindrome (369963).

The spelling of 257211 in words is "two hundred fifty-seven thousand, two hundred eleven".