257213 has 8 divisors (see below), whose sum is σ = 285600. Its totient is φ = 229680.

The previous prime is 257189. The next prime is 257219. The reversal of 257213 is 312752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257213 - 2⁸ = 256957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 257213.

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 7 ways as a sum of consecutive naturals, for example, 563 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (35700).

2²⁵⁷²¹³ is an apocalyptic number.

It is an amenable number.

257213 is a deficient number, since it is larger than the sum of its proper divisors (28387).

257213 is a wasteful number, since it uses less digits than its factorization.

257213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427.

The product of its digits is 420, while the sum is 20.

The square root of 257213 is about 507.1617099111. The cubic root of 257213 is about 63.5961714663.

Adding to 257213 its reverse (312752), we get a palindrome (569965).

The spelling of 257213 in words is "two hundred fifty-seven thousand, two hundred thirteen".