86044225 has 24 divisors (see below), whose sum is σ = 113664600. Its totient is φ = 64389120.

The previous prime is 86044213. The next prime is 86044229. The reversal of 86044225 is 52244068.

It can be written as a sum of positive squares in 12 ways, for example, as 6780816 + 79263409 = 2604^2 + 8903^2 .

It is not a de Polignac number, because 86044225 - 2¹⁷ = 85913153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86044229) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 81501 + ... + 82549.

It is an arithmetic number, because the mean of its divisors is an integer number (4736025).

Almost surely, 2^86044225 is an apocalyptic number.

86044225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

86044225 is a deficient number, since it is larger than the sum of its proper divisors (27620375).

86044225 is a wasteful number, since it uses less digits than its factorization.

86044225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 86044225 is about 9276.0026412243. The cubic root of 86044225 is about 441.4761458245.

The spelling of 86044225 in words is "eighty-six million, forty-four thousand, two hundred twenty-five".