258893 has 8 divisors (see below), whose sum is σ = 278712. Its totient is φ = 239616.

The previous prime is 258887. The next prime is 258917. The reversal of 258893 is 398852.

It can be written as a sum of positive squares in 4 ways, for example, as 40804 + 218089 = 202^2 + 467^2 .

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 258893 - 2⁸ = 258637 is a prime.

It is a d-powerful number, because it can be written as 2¹⁶ + 5⁶ + 8² + 8³ + 9 + 3¹¹ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258803) 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, 1571 + ... + 1727.

It is an arithmetic number, because the mean of its divisors is an integer number (34839).

2²⁵⁸⁸⁹³ is an apocalyptic number.

It is an amenable number.

258893 is a deficient number, since it is larger than the sum of its proper divisors (19819).

258893 is a wasteful number, since it uses less digits than its factorization.

258893 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271.

The product of its digits is 17280, while the sum is 35.

The square root of 258893 is about 508.8152906507. The cubic root of 258893 is about 63.7343316614.

The spelling of 258893 in words is "two hundred fifty-eight thousand, eight hundred ninety-three".