257673 has 8 divisors (see below), whose sum is σ = 370048. Its totient is φ = 158544.

The previous prime is 257671. The next prime is 257687. The reversal of 257673 is 376752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 257673 - 2¹ = 257671 is a prime.

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 257673.

It is not an unprimeable number, because it can be changed into a prime (257671) 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 7 ways as a sum of consecutive naturals, for example, 3265 + ... + 3342.

It is an arithmetic number, because the mean of its divisors is an integer number (46256).

2²⁵⁷⁶⁷³ is an apocalyptic number.

It is an amenable number.

257673 is a deficient number, since it is larger than the sum of its proper divisors (112375).

257673 is a wasteful number, since it uses less digits than its factorization.

257673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6623.

The product of its digits is 8820, while the sum is 30.

The square root of 257673 is about 507.6150115984. The cubic root of 257673 is about 63.6340607083.

It can be divided in two parts, 2 and 57673, that added together give a palindrome (57675).

The spelling of 257673 in words is "two hundred fifty-seven thousand, six hundred seventy-three".