5643 has 16 divisors (see below), whose sum is σ = 9600. Its totient is φ = 3240.

The previous prime is 5641. The next prime is 5647. The reversal of 5643 is 3465.

5643 = 7³ + 8³ + ... + 12³.

It is a happy number.

It is not a de Polignac number, because 5643 - 2¹ = 5641 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (5641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288 + ... + 306.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

5643 is a deficient number, since it is larger than the sum of its proper divisors (3957).

5643 is a wasteful number, since it uses less digits than its factorization.

5643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 33 counting only the distinct ones).

The product of its digits is 360, while the sum is 18.

The square root of 5643 is about 75.1199041533. The cubic root of 5643 is about 17.8034164212.

Subtracting from 5643 its sum of digits (18), we obtain a square (5625 = 75²).

It can be divided in two parts, 56 and 43, that added together give a palindrome (99).

The spelling of 5643 in words is "five thousand, six hundred forty-three".