4006563 has 16 divisors (see below), whose sum is σ = 5861376. Its totient is φ = 2414240.

The previous prime is 4006547. The next prime is 4006567. The reversal of 4006563 is 3656004.

4006563 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4006563 - 2⁴ = 4006547 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006567) 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 in 15 ways as a sum of consecutive naturals, for example, 10270 + ... + 10652.

It is an arithmetic number, because the mean of its divisors is an integer number (366336).

Almost surely, 2^4006563 is an apocalyptic number.

4006563 is a deficient number, since it is larger than the sum of its proper divisors (1854813).

4006563 is a wasteful number, since it uses less digits than its factorization.

4006563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714.

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 4006563 is about 2001.6400775364. The cubic root of 4006563 is about 158.8268753673.

The spelling of 4006563 in words is "four million, six thousand, five hundred sixty-three".