85305128 has 24 divisors (see below), whose sum is σ = 164407950. Its totient is φ = 41494464.

The previous prime is 85305127. The next prime is 85305139. The reversal of 85305128 is 82150358.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 84309124 + 996004 = 9182^2 + 998^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85305094 and 85305103.

It is not an unprimeable number, because it can be changed into a prime (85305127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7058 + ... + 14846.

Almost surely, 2^85305128 is an apocalyptic number.

It is an amenable number.

85305128 is a deficient number, since it is larger than the sum of its proper divisors (79102822).

85305128 is a wasteful number, since it uses less digits than its factorization.

85305128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 85305128 is about 9236.0775224118. The cubic root of 85305128 is about 440.2084549455.

The spelling of 85305128 in words is "eighty-five million, three hundred five thousand, one hundred twenty-eight".