32563 has 2 divisors, whose sum is σ = 32564. Its totient is φ = 32562.

The previous prime is 32561. The next prime is 32569. The reversal of 32563 is 36523.

It is a weak prime.

It is an emirp because it is prime and its reverse (36523) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32563 - 2¹ = 32561 is a prime.

Together with 32561, it forms a pair of twin primes.

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

32563 is a lucky number.

It is a plaindrome in base 15.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 32563.

It is not a weakly prime, because it can be changed into another prime (32561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16281 + 16282.

It is an arithmetic number, because the mean of its divisors is an integer number (16282).

2³²⁵⁶³ is an apocalyptic number.

32563 is a deficient number, since it is larger than the sum of its proper divisors (1).

32563 is an equidigital number, since it uses as much as digits as its factorization.

32563 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 19.

The square root of 32563 is about 180.4522097399. The cubic root of 32563 is about 31.9331285832.

Subtracting from 32563 its product of digits (540), we obtain a palindrome (32023).

It can be divided in two parts, 32 and 563, that added together give a palindrome (595).

The spelling of 32563 in words is "thirty-two thousand, five hundred sixty-three".