257573 has 4 divisors (see below), whose sum is σ = 258720. Its totient is φ = 256428.

The previous prime is 257561. The next prime is 257591. The reversal of 257573 is 375752.

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 257573 - 2¹⁶ = 192037 is a prime.

It is a d-powerful number, because it can be written as 2⁶ + 5² + 5⁶ + 7⁶ + 7⁶ + 3⁸ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257503) 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, 113 + ... + 726.

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

2²⁵⁷⁵⁷³ is an apocalyptic number.

It is an amenable number.

257573 is a deficient number, since it is larger than the sum of its proper divisors (1147).

257573 is an equidigital number, since it uses as much as digits as its factorization.

257573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146.

The product of its digits is 7350, while the sum is 29.

The square root of 257573 is about 507.5165021948. The cubic root of 257573 is about 63.6258277548.

It can be divided in two parts, 2 and 57573, that added together give a palindrome (57575).

The spelling of 257573 in words is "two hundred fifty-seven thousand, five hundred seventy-three".