83448225 has 135 divisors (see below), whose sum is σ = 186225897. Its totient is φ = 36832320.

The previous prime is 83448191. The next prime is 83448241. The reversal of 83448225 is 52284438.

The square root of 83448225 is 9135.

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 1147041 + 82301184 = 1071^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 83448225 - 2⁷ = 83448097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 83448225.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 2877511 + ... + 2877539.

Almost surely, 2^83448225 is an apocalyptic number.

83448225 is the 9135-th square number.

83448225 is the 4568-th centered octagonal number.

It is an amenable number.

83448225 is an abundant number, since it is smaller than the sum of its proper divisors (102777672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83448225 is a wasteful number, since it uses less digits than its factorization.

83448225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The cubic root of 83448225 is about 436.9908744191.

Multiplying 83448225 by its sum of digits (36), we get a square (3004136100 = 54810²).

The spelling of 83448225 in words is "eighty-three million, four hundred forty-eight thousand, two hundred twenty-five".