7847302225 has 27 divisors (see below), whose sum is σ = 11323807131. Its totient is φ = 5378881200.

The previous prime is 7847302223. The next prime is 7847302237. The reversal of 7847302225 is 5222037487.

The square root of 7847302225 is 88585.

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., 2825028801 + 5022273424 = 53151^2 + 70868^2 .

It is not a de Polignac number, because 7847302225 - 2¹ = 7847302223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7847302223) 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 26 ways as a sum of consecutive naturals, for example, 3099210 + ... + 3101740.

Almost surely, 2^7847302225 is an apocalyptic number.

7847302225 is the 88585-th square number.

7847302225 is the 44293-rd centered octagonal number.

It is an amenable number.

7847302225 is a deficient number, since it is larger than the sum of its proper divisors (3476504906).

7847302225 is an frugal number, since it uses more digits than its factorization.

7847302225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5086 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The cubic root of 7847302225 is about 1987.1933553784.

The spelling of 7847302225 in words is "seven billion, eight hundred forty-seven million, three hundred two thousand, two hundred twenty-five".