257233 has 4 divisors (see below), whose sum is σ = 260928. Its totient is φ = 253540.

The previous prime is 257221. The next prime is 257239. The reversal of 257233 is 332752.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 257233 - 2⁹ = 256721 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

257233 is a lucky number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (257239) 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 in 3 ways as a sum of consecutive naturals, for example, 1741 + ... + 1882.

It is an arithmetic number, because the mean of its divisors is an integer number (65232).

2²⁵⁷²³³ is an apocalyptic number.

It is an amenable number.

257233 is a deficient number, since it is larger than the sum of its proper divisors (3695).

257233 is an equidigital number, since it uses as much as digits as its factorization.

257233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694.

The product of its digits is 1260, while the sum is 22.

The square root of 257233 is about 507.1814271047. The cubic root of 257233 is about 63.5978197636.

Adding to 257233 its reverse (332752), we get a palindrome (589985).

The spelling of 257233 in words is "two hundred fifty-seven thousand, two hundred thirty-three".