8221005 has 72 divisors (see below), whose sum is σ = 16443648. Its totient is φ = 3788928.

The previous prime is 8220937. The next prime is 8221009. The reversal of 8221005 is 5001228.

It is not a de Polignac number, because 8221005 - 2⁹ = 8220493 is a prime.

8221005 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174892 + ... + 174938.

It is an arithmetic number, because the mean of its divisors is an integer number (228384).

Almost surely, 2^8221005 is an apocalyptic number.

It is an amenable number.

8221005 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

8221005 is a wasteful number, since it uses less digits than its factorization.

8221005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8221005 is about 2867.2294990112. The cubic root of 8221005 is about 201.8250044731.

The spelling of 8221005 in words is "eight million, two hundred twenty-one thousand, five".