258643 has 8 divisors (see below), whose sum is σ = 322560. Its totient is φ = 201480.

The previous prime is 258637. The next prime is 258659. The reversal of 258643 is 346852.

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 258643 - 2⁵ = 258611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (258613) 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, 1603 + ... + 1756.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2²⁵⁸⁶⁴³ is an apocalyptic number.

258643 is a deficient number, since it is larger than the sum of its proper divisors (63917).

258643 is a wasteful number, since it uses less digits than its factorization.

258643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377.

The product of its digits is 5760, while the sum is 28.

The square root of 258643 is about 508.5695625969. The cubic root of 258643 is about 63.7138100373.

Subtracting 258643 from its reverse (346852), we obtain a square (88209 = 297²).

It can be divided in two parts, 25 and 8643, that added together give a palindrome (8668).

The spelling of 258643 in words is "two hundred fifty-eight thousand, six hundred forty-three".