84065625 has 108 divisors (see below), whose sum is σ = 179449452. Its totient is φ = 37800000.

The previous prime is 84065609. The next prime is 84065659. The reversal of 84065625 is 52656048.

It can be written as a sum of positive squares in 6 ways, for example, as 82682649 + 1382976 = 9093^2 + 1176^2 .

It is not a de Polignac number, because 84065625 - 2⁴ = 84065609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 84065625.

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 107 ways as a sum of consecutive naturals, for example, 1378095 + ... + 1378155.

It is an arithmetic number, because the mean of its divisors is an integer number (1661569).

Almost surely, 2^84065625 is an apocalyptic number.

It is an amenable number.

84065625 is an abundant number, since it is smaller than the sum of its proper divisors (95383827).

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

84065625 is an equidigital number, since it uses as much as digits as its factorization.

84065625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 84065625 is about 9168.7308282008. The cubic root of 84065625 is about 438.0659342788.

The spelling of 84065625 in words is "eighty-four million, sixty-five thousand, six hundred twenty-five".