78543 has 8 divisors (see below), whose sum is σ = 116400. Its totient is φ = 52344.

The previous prime is 78541. The next prime is 78553. The reversal of 78543 is 34587.

It is not a de Polignac number, because 78543 - 2¹ = 78541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 2909 = 78543 / (7 + 8 + 5 + 4 + 3).

It is a d-powerful number, because it can be written as 7³ + 8 + 5⁷ + 4³ + 3 .

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

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78541) 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, 1428 + ... + 1481.

It is an arithmetic number, because the mean of its divisors is an integer number (14550).

2⁷⁸⁵⁴³ is an apocalyptic number.

78543 is a deficient number, since it is larger than the sum of its proper divisors (37857).

78543 is a wasteful number, since it uses less digits than its factorization.

78543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 78543 is about 280.2552408074. The cubic root of 78543 is about 42.8255052219.

Subtracting from 78543 its reverse (34587), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 785 and 43, that added together give a palindrome (828).

The spelling of 78543 in words is "seventy-eight thousand, five hundred forty-three".