257493 has 4 divisors (see below), whose sum is σ = 343328. Its totient is φ = 171660.

The previous prime is 257489. The next prime is 257497. The reversal of 257493 is 394752.

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 an interprime number because it is at equal distance from previous prime (257489) and next prime (257497).

It is not a de Polignac number, because 257493 - 2² = 257489 is a prime.

It is a D-number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 257493.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257497) 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, 42913 + ... + 42918.

It is an arithmetic number, because the mean of its divisors is an integer number (85832).

2²⁵⁷⁴⁹³ is an apocalyptic number.

It is an amenable number.

257493 is a deficient number, since it is larger than the sum of its proper divisors (85835).

257493 is an equidigital number, since it uses as much as digits as its factorization.

257493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85834.

The product of its digits is 7560, while the sum is 30.

The square root of 257493 is about 507.4376809028. The cubic root of 257493 is about 63.6192398577.

It can be divided in two parts, 25749 and 3, that added together give a palindrome (25752).

The spelling of 257493 in words is "two hundred fifty-seven thousand, four hundred ninety-three".