2005563 has 16 divisors (see below), whose sum is σ = 3128576. Its totient is φ = 1118880.

The previous prime is 2005559. The next prime is 2005567. The reversal of 2005563 is 3655002.

It is an interprime number because it is at equal distance from previous prime (2005559) and next prime (2005567).

It is not a de Polignac number, because 2005563 - 2² = 2005559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2005567) 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 in 15 ways as a sum of consecutive naturals, for example, 208 + ... + 2013.

It is an arithmetic number, because the mean of its divisors is an integer number (195536).

2^2005563 is an apocalyptic number.

2005563 is a deficient number, since it is larger than the sum of its proper divisors (1123013).

2005563 is a wasteful number, since it uses less digits than its factorization.

2005563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274.

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 2005563 is about 1416.1790141080. The cubic root of 2005563 is about 126.1088125289.

The spelling of 2005563 in words is "two million, five thousand, five hundred sixty-three".