8192965225 has 27 divisors (see below), whose sum is σ = 10425797829. Its totient is φ = 6386738400.

The previous prime is 8192965201. The next prime is 8192965229. The reversal of 8192965225 is 5225692918.

The square root of 8192965225 is 90515.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4692113001 + 3500852224 = 68499^2 + 59168^2 .

It is a de Polignac number, because none of the positive numbers 2^k-8192965225 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8192965229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19460515 + ... + 19460935.

Almost surely, 2^8192965225 is an apocalyptic number.

8192965225 is the 90515-th square number.

8192965225 is the 45258-th centered octagonal number.

It is an amenable number.

8192965225 is a deficient number, since it is larger than the sum of its proper divisors (2232832604).

8192965225 is an frugal number, since it uses more digits than its factorization.

8192965225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 469 counting only the distinct ones).

The product of its digits is 777600, while the sum is 49.

The cubic root of 8192965225 is about 2015.9528503745.

Multiplying 8192965225 by its sum of digits (49), we get a square (401455296025 = 633605²).

The spelling of 8192965225 in words is "eight billion, one hundred ninety-two million, nine hundred sixty-five thousand, two hundred twenty-five".