257933 has 4 divisors (see below), whose sum is σ = 277788. Its totient is φ = 238080.

The previous prime is 257921. The next prime is 257947. The reversal of 257933 is 339752.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 243049 = 122^2 + 493^2 .

It is a cyclic number.

It is not a de Polignac number, because 257933 - 2⁶ = 257869 is a prime.

It is a d-powerful number, because it can be written as 2³ + 5⁷ + 9 + 7⁴ + 3⁵ + 3¹¹ .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 257896 and 257905.

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 257933.

It is not an unprimeable number, because it can be changed into a prime (257903) 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 3 ways as a sum of consecutive naturals, for example, 9908 + ... + 9933.

It is an arithmetic number, because the mean of its divisors is an integer number (69447).

2²⁵⁷⁹³³ is an apocalyptic number.

It is an amenable number.

257933 is a deficient number, since it is larger than the sum of its proper divisors (19855).

257933 is a wasteful number, since it uses less digits than its factorization.

257933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19854.

The product of its digits is 5670, while the sum is 29.

The square root of 257933 is about 507.8710466250. The cubic root of 257933 is about 63.6554564232.

The spelling of 257933 in words is "two hundred fifty-seven thousand, nine hundred thirty-three".