9905563 has 2 divisors, whose sum is σ = 9905564. Its totient is φ = 9905562.

The previous prime is 9905561. The next prime is 9905591. The reversal of 9905563 is 3655099.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 9905563 - 2¹ = 9905561 is a prime.

Together with 9905561, it forms a pair of twin primes.

9905563 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (9905561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4952781 + 4952782.

It is an arithmetic number, because the mean of its divisors is an integer number (4952782).

Almost surely, 2^9905563 is an apocalyptic number.

9905563 is a deficient number, since it is larger than the sum of its proper divisors (1).

9905563 is an equidigital number, since it uses as much as digits as its factorization.

9905563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36450, while the sum is 37.

The square root of 9905563 is about 3147.3104390892. The cubic root of 9905563 is about 214.7631283470.

The spelling of 9905563 in words is "nine million, nine hundred five thousand, five hundred sixty-three".