85102225 has 24 divisors (see below), whose sum is σ = 114102072. Its totient is φ = 62592000.

The previous prime is 85102207. The next prime is 85102229. The reversal of 85102225 is 52220158.

It can be written as a sum of positive squares in 12 ways, for example, as 21613201 + 63489024 = 4649^2 + 7968^2 .

It is not a de Polignac number, because 85102225 - 2¹⁹ = 84577937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 85102225.

It is not an unprimeable number, because it can be changed into a prime (85102229) 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, 129999 + ... + 130651.

It is an arithmetic number, because the mean of its divisors is an integer number (4754253).

Almost surely, 2^85102225 is an apocalyptic number.

It is an amenable number.

85102225 is a deficient number, since it is larger than the sum of its proper divisors (28999847).

85102225 is a wasteful number, since it uses less digits than its factorization.

85102225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 85102225 is about 9225.0867204596. The cubic root of 85102225 is about 439.8591577455.

Subtracting from 85102225 its product of nonzero digits (1600), we obtain a square (85100625 = 9225²).

The spelling of 85102225 in words is "eighty-five million, one hundred two thousand, two hundred twenty-five".