258593 has 8 divisors (see below), whose sum is σ = 275880. Its totient is φ = 241920.

The previous prime is 258581. The next prime is 258607. The reversal of 258593 is 395852.

It is a happy number.

258593 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 123904 + 134689 = 352^2 + 367^2 .

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 258593 - 2⁸ = 258337 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (258563) 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, 953 + ... + 1193.

It is an arithmetic number, because the mean of its divisors is an integer number (34485).

2²⁵⁸⁵⁹³ is an apocalyptic number.

It is an amenable number.

258593 is a deficient number, since it is larger than the sum of its proper divisors (17287).

258593 is a wasteful number, since it uses less digits than its factorization.

258593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307.

The product of its digits is 10800, while the sum is 32.

The square root of 258593 is about 508.5204027372. The cubic root of 258593 is about 63.7097041258.

It can be divided in two parts, 25859 and 3, that multiplied together give a palindrome (77577).

The spelling of 258593 in words is "two hundred fifty-eight thousand, five hundred ninety-three".