8005284 has 48 divisors (see below), whose sum is σ = 23721600. Its totient is φ = 2287008.

The previous prime is 8005271. The next prime is 8005301. The reversal of 8005284 is 4825008.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 4539 + ... + 6050.

It is an arithmetic number, because the mean of its divisors is an integer number (494200).

Almost surely, 2^8005284 is an apocalyptic number.

8005284 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8005284 is an abundant number, since it is smaller than the sum of its proper divisors (15716316).

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

8005284 is a wasteful number, since it uses less digits than its factorization.

8005284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609 (or 10601 counting only the distinct ones).

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

The square root of 8005284 is about 2829.3610586138. The cubic root of 8005284 is about 200.0440236422.

It can be divided in two parts, 800 and 5284, that added together give a square (6084 = 78²).

The spelling of 8005284 in words is "eight million, five thousand, two hundred eighty-four".