5642 has 16 divisors (see below), whose sum is σ = 10752. Its totient is φ = 2160.

The previous prime is 5641. The next prime is 5647. The reversal of 5642 is 2465.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 5642.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167 + ... + 197.

It is an arithmetic number, because the mean of its divisors is an integer number (672).

2⁵⁶⁴² is an apocalyptic number.

5642 is a deficient number, since it is larger than the sum of its proper divisors (5110).

5642 is a wasteful number, since it uses less digits than its factorization.

5642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53.

The product of its digits is 240, while the sum is 17.

The square root of 5642 is about 75.1132478329. The cubic root of 5642 is about 17.8023647071.

Subtracting from 5642 its sum of digits (17), we obtain a square (5625 = 75²).

It can be divided in two parts, 564 and 2, that multiplied together give a triangular number (1128 = T₄₇).

The spelling of 5642 in words is "five thousand, six hundred forty-two".