258543 has 12 divisors (see below), whose sum is σ = 390000. Its totient is φ = 164736.

The previous prime is 258539. The next prime is 258551. The reversal of 258543 is 345852.

It is not a de Polignac number, because 258543 - 2² = 258539 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

258543 is a lucky number.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 418 + ... + 831.

It is an arithmetic number, because the mean of its divisors is an integer number (32500).

2²⁵⁸⁵⁴³ is an apocalyptic number.

258543 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

258543 is a deficient number, since it is larger than the sum of its proper divisors (131457).

258543 is a wasteful number, since it uses less digits than its factorization.

258543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1275 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 258543 is about 508.4712381246. The cubic root of 258543 is about 63.7055976850.

It can be divided in two parts, 2585 and 43, that added together give a triangular number (2628 = T₇₂).

The spelling of 258543 in words is "two hundred fifty-eight thousand, five hundred forty-three".