23563 has 2 divisors, whose sum is σ = 23564. Its totient is φ = 23562.
The previous prime is 23561. The next prime is 23567. The reversal of 23563 is 36532.
It is a weak prime.
It is a cyclic number.
It is not a de Polignac number, because 23563 - 21 = 23561 is a prime.
Together with 23561, it forms a pair of twin primes.
It is a d-powerful number, because it can be written as 29 + 33 + 55 + 63 + 39 .
It is the 154-th Hogben number.
23563 is a lucky number.
It is a plaindrome in base 12.
It is a nialpdrome in base 14.
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 23563.
It is not a weakly prime, because it can be changed into another prime (23561) by changing a digit.
It is a nontrivial repunit in base 153.
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, 11781 + 11782.
It is an arithmetic number, because the mean of its divisors is an integer number (11782).
223563 is an apocalyptic number.
23563 is a deficient number, since it is larger than the sum of its proper divisors (1).
23563 is an equidigital number, since it uses as much as digits as its factorization.
23563 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 23563 is about 153.5024429773. The cubic root of 23563 is about 28.6688448558.
The spelling of 23563 in words is "twenty-three thousand, five hundred sixty-three".
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