84916225 has 27 divisors (see below), whose sum is σ = 112287177. Its totient is φ = 63694080.

The previous prime is 84916219. The next prime is 84916283. The reversal of 84916225 is 52261948.

The square root of 84916225 is 9215.

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 3122289 + 81793936 = 1767^2 + 9044^2 .

It is not a de Polignac number, because 84916225 - 2⁹ = 84915713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 875377 + ... + 875473.

Almost surely, 2^84916225 is an apocalyptic number.

84916225 is the 9215-th square number.

84916225 is the 4608-th centered octagonal number.

It is an amenable number.

84916225 is a deficient number, since it is larger than the sum of its proper divisors (27370952).

84916225 is an equidigital number, since it uses as much as digits as its factorization.

84916225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The cubic root of 84916225 is about 439.5384709476.

The spelling of 84916225 in words is "eighty-four million, nine hundred sixteen thousand, two hundred twenty-five".