8204805 has 54 divisors (see below), whose sum is σ = 16819218. Its totient is φ = 3689280.

The previous prime is 8204783. The next prime is 8204809. The reversal of 8204805 is 5084028.

It can be written as a sum of positive squares in 3 ways, for example, as 636804 + 7568001 = 798^2 + 2751^2 .

It is not a de Polignac number, because 8204805 - 2⁵ = 8204773 is a prime.

8204805 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8204809) 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 53 ways as a sum of consecutive naturals, for example, 134475 + ... + 134535.

It is an arithmetic number, because the mean of its divisors is an integer number (311467).

Almost surely, 2^8204805 is an apocalyptic number.

It is an amenable number.

8204805 is an abundant number, since it is smaller than the sum of its proper divisors (8614413).

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

8204805 is a wasteful number, since it uses less digits than its factorization.

8204805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 8204805 is about 2864.4030791772. The cubic root of 8204805 is about 201.6923477377.

It can be divided in two parts, 8204 and 805, that added together give a palindrome (9009).

The spelling of 8204805 in words is "eight million, two hundred four thousand, eight hundred five".