8643 has 8 divisors (see below), whose sum is σ = 11968. Its totient is φ = 5544.

The previous prime is 8641. The next prime is 8647. The reversal of 8643 is 3468.

8643 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8643 - 2¹ = 8641 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8643.

It is not an unprimeable number, because it can be changed into a prime (8641) 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, 96 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (1496).

2⁸⁶⁴³ is an apocalyptic number.

8643 is a deficient number, since it is larger than the sum of its proper divisors (3325).

8643 is a wasteful number, since it uses less digits than its factorization.

8643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113.

The product of its digits is 576, while the sum is 21.

The square root of 8643 is about 92.9677363390. The cubic root of 8643 is about 20.5220860519.

Multiplying 8643 by its sum of digits (21), we get a triangular number (181503 = T₆₀₂).

The spelling of 8643 in words is "eight thousand, six hundred forty-three".