8084221 has 2 divisors, whose sum is σ = 8084222. Its totient is φ = 8084220.

The previous prime is 8084213. The next prime is 8084227. The reversal of 8084221 is 1224808.

8084221 = 2010² + 2011².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4044121 + 4040100 = 2011^2 + 2010^2 .

It is a cyclic number.

It is not a de Polignac number, because 8084221 - 2³ = 8084213 is a prime.

It is equal to p₅₄₅₀₄₇ and since 8084221 and 545047 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8084227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4042110 + 4042111.

It is an arithmetic number, because the mean of its divisors is an integer number (4042111).

Almost surely, 2^8084221 is an apocalyptic number.

8084221 is the 2011-st centered square number.

It is an amenable number.

8084221 is a deficient number, since it is larger than the sum of its proper divisors (1).

8084221 is an equidigital number, since it uses as much as digits as its factorization.

8084221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8084221 is about 2843.2764550778. The cubic root of 8084221 is about 200.6993930625.

The spelling of 8084221 in words is "eight million, eighty-four thousand, two hundred twenty-one".