8256829221 has 48 divisors (see below), whose sum is σ = 13060320000. Its totient is φ = 5006655360.

The previous prime is 8256829201. The next prime is 8256829253. The reversal of 8256829221 is 1229286528.

8256829221 is a `hidden beast` number, since 82 + 568 + 2 + 9 + 2 + 2 + 1 = 666.

It is not a de Polignac number, because 8256829221 - 2¹⁹ = 8256304933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256829201) 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 in 47 ways as a sum of consecutive naturals, for example, 892980 + ... + 902178.

It is an arithmetic number, because the mean of its divisors is an integer number (272090000).

Almost surely, 2^8256829221 is an apocalyptic number.

It is an amenable number.

8256829221 is a deficient number, since it is larger than the sum of its proper divisors (4803490779).

8256829221 is a wasteful number, since it uses less digits than its factorization.

8256829221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9434 (or 9431 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 8256829221 is about 90867.0964706147. The cubic root of 8256829221 is about 2021.1774024223.

The spelling of 8256829221 in words is "eight billion, two hundred fifty-six million, eight hundred twenty-nine thousand, two hundred twenty-one".