8066734225 has 81 divisors (see below), whose sum is σ = 11657737147. Its totient is φ = 5532604000.

The previous prime is 8066734217. The next prime is 8066734229. The reversal of 8066734225 is 5224376608.

The square root of 8066734225 is 89815.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2904024321 + 5162709904 = 53889^2 + 71852^2 .

It is not a de Polignac number, because 8066734225 - 2³ = 8066734217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8066734229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 113615940 + ... + 113616010.

Almost surely, 2^8066734225 is an apocalyptic number.

8066734225 is the 89815-th square number.

8066734225 is the 44908-th centered octagonal number.

It is an amenable number.

8066734225 is a deficient number, since it is larger than the sum of its proper divisors (3591002922).

8066734225 is a wasteful number, since it uses less digits than its factorization.

8066734225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The cubic root of 8066734225 is about 2005.5457932913.

The spelling of 8066734225 in words is "eight billion, sixty-six million, seven hundred thirty-four thousand, two hundred twenty-five".