257983 has 8 divisors (see below), whose sum is σ = 288000. Its totient is φ = 229080.

The previous prime is 257981. The next prime is 257987. The reversal of 257983 is 389752.

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

It is a cyclic number.

It is not a de Polignac number, because 257983 - 2¹ = 257981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 268 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2²⁵⁷⁹⁸³ is an apocalyptic number.

257983 is a deficient number, since it is larger than the sum of its proper divisors (30017).

257983 is a wasteful number, since it uses less digits than its factorization.

257983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557.

The product of its digits is 15120, while the sum is 34.

The square root of 257983 is about 507.9202693337. The cubic root of 257983 is about 63.6595693352.

Subtracting 257983 from its reverse (389752), we obtain a square (131769 = 363²).

It can be divided in two parts, 2579 and 83, that added together give a palindrome (2662).

The spelling of 257983 in words is "two hundred fifty-seven thousand, nine hundred eighty-three".