83563 has 2 divisors, whose sum is σ = 83564. Its totient is φ = 83562.

The previous prime is 83561. The next prime is 83579. The reversal of 83563 is 36538.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 83563 - 2¹ = 83561 is a prime.

Together with 83561, it forms a pair of twin primes.

83563 is a lucky number.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (83561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41781 + 41782.

It is an arithmetic number, because the mean of its divisors is an integer number (41782).

2⁸³⁵⁶³ is an apocalyptic number.

83563 is a deficient number, since it is larger than the sum of its proper divisors (1).

83563 is an equidigital number, since it uses as much as digits as its factorization.

83563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 25.

The square root of 83563 is about 289.0726552270. The cubic root of 83563 is about 43.7191128930.

Subtracting from 83563 its sum of digits (25), we obtain a palindrome (83538).

It can be divided in two parts, 835 and 63, that added together give a palindrome (898).

The spelling of 83563 in words is "eighty-three thousand, five hundred sixty-three".