805563 has 24 divisors (see below), whose sum is σ = 1297920. Its totient is φ = 477360.

The previous prime is 805559. The next prime is 805573. The reversal of 805563 is 365508.

It is not a de Polignac number, because 805563 - 2² = 805559 is a prime.

805563 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (805523) 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 23 ways as a sum of consecutive naturals, for example, 7770 + ... + 7872.

It is an arithmetic number, because the mean of its divisors is an integer number (54080).

2⁸⁰⁵⁵⁶³ is an apocalyptic number.

805563 is a deficient number, since it is larger than the sum of its proper divisors (492357).

805563 is a wasteful number, since it uses less digits than its factorization.

805563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 196 counting only the distinct ones).

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

The square root of 805563 is about 897.5316150421. The cubic root of 805563 is about 93.0464561517.

It can be divided in two parts, 8055 and 63, that added together give a palindrome (8118).

The spelling of 805563 in words is "eight hundred five thousand, five hundred sixty-three".