41563 has 4 divisors (see below), whose sum is σ = 42120. Its totient is φ = 41008.

The previous prime is 41549. The next prime is 41579. The reversal of 41563 is 36514.

41563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 36514 = 2 ⋅18257.

It is a cyclic number.

It is not a de Polignac number, because 41563 - 2⁹ = 41051 is a prime.

It is a Duffinian number.

41563 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 41563.

It is not an unprimeable number, because it can be changed into a prime (41513) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 145 + ... + 322.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2⁴¹⁵⁶³ is an apocalyptic number.

41563 is a deficient number, since it is larger than the sum of its proper divisors (557).

41563 is an equidigital number, since it uses as much as digits as its factorization.

41563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556.

The product of its digits is 360, while the sum is 19.

The square root of 41563 is about 203.8700566537. The cubic root of 41563 is about 34.6392884592.

The spelling of 41563 in words is "forty-one thousand, five hundred sixty-three".