86145625 has 20 divisors (see below), whose sum is σ = 108230980. Its totient is φ = 68544000.

The previous prime is 86145623. The next prime is 86145637. The reversal of 86145625 is 52654168.

It can be written as a sum of positive squares in 10 ways, for example, as 56595529 + 29550096 = 7523^2 + 5436^2 .

It is not a de Polignac number, because 86145625 - 2¹ = 86145623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86145623) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 210421 + ... + 210829.

It is an arithmetic number, because the mean of its divisors is an integer number (5411549).

Almost surely, 2^86145625 is an apocalyptic number.

It is an amenable number.

86145625 is a deficient number, since it is larger than the sum of its proper divisors (22085355).

86145625 is an equidigital number, since it uses as much as digits as its factorization.

86145625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 751 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 86145625 is about 9281.4667483109. The cubic root of 86145625 is about 441.6494989569.

The spelling of 86145625 in words is "eighty-six million, one hundred forty-five thousand, six hundred twenty-five".