563805 has 48 divisors (see below), whose sum is σ = 1145664. Its totient is φ = 253440.

The previous prime is 563777. The next prime is 563809. The reversal of 563805 is 508365.

563805 = T₂₄₉ + T₂₅₀ + ... + T₂₆₅.

563805 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 563805 - 2¹⁰ = 562781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8382 + ... + 8448.

It is an arithmetic number, because the mean of its divisors is an integer number (23868).

2⁵⁶³⁸⁰⁵ is an apocalyptic number.

563805 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

563805 is an abundant number, since it is smaller than the sum of its proper divisors (581859).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

563805 is a wasteful number, since it uses less digits than its factorization.

563805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 563805 is about 750.8694959845. The cubic root of 563805 is about 82.6119691786.

The spelling of 563805 in words is "five hundred sixty-three thousand, eight hundred five".