257693 has 4 divisors (see below), whose sum is σ = 258720. Its totient is φ = 256668.

The previous prime is 257689. The next prime is 257707. The reversal of 257693 is 396752.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 257693 - 2² = 257689 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

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 257693.

It is not an unprimeable number, because it can be changed into a prime (257093) 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, 146 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

2²⁵⁷⁶⁹³ is an apocalyptic number.

It is an amenable number.

257693 is a deficient number, since it is larger than the sum of its proper divisors (1027).

257693 is an equidigital number, since it uses as much as digits as its factorization.

257693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026.

The product of its digits is 11340, while the sum is 32.

The square root of 257693 is about 507.6347111851. The cubic root of 257693 is about 63.6357070433.

The spelling of 257693 in words is "two hundred fifty-seven thousand, six hundred ninety-three".