257133 has 4 divisors (see below), whose sum is σ = 342848. Its totient is φ = 171420.

The previous prime is 257123. The next prime is 257141. The reversal of 257133 is 331752.

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 not a de Polignac number, because 257133 - 2⁶ = 257069 is a prime.

It is a super-2 number, since 2×257133² = 132234759378, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

257133 is a lucky 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 257133.

It is not an unprimeable number, because it can be changed into a prime (257123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42853 + ... + 42858.

It is an arithmetic number, because the mean of its divisors is an integer number (85712).

2²⁵⁷¹³³ is an apocalyptic number.

It is an amenable number.

257133 is a deficient number, since it is larger than the sum of its proper divisors (85715).

257133 is an equidigital number, since it uses as much as digits as its factorization.

257133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85714.

The product of its digits is 630, while the sum is 21.

The square root of 257133 is about 507.0828334700. The cubic root of 257133 is about 63.5895774226.

Adding to 257133 its reverse (331752), we get a palindrome (588885).

The spelling of 257133 in words is "two hundred fifty-seven thousand, one hundred thirty-three".