8563 has 2 divisors, whose sum is σ = 8564. Its totient is φ = 8562.

The previous prime is 8543. The next prime is 8573. The reversal of 8563 is 3658.

8563 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8563 is a prime.

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

It is not a weakly prime, because it can be changed into another prime (8513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4281 + 4282.

It is an arithmetic number, because the mean of its divisors is an integer number (4282).

2⁸⁵⁶³ is an apocalyptic number.

8563 is a deficient number, since it is larger than the sum of its proper divisors (1).

8563 is an equidigital number, since it uses as much as digits as its factorization.

8563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 8563 is about 92.5364792933. The cubic root of 8563 is about 20.4585718972.

Adding to 8563 its reverse (3658), we get a palindrome (12221).

The spelling of 8563 in words is "eight thousand, five hundred sixty-three".