85845825 has 72 divisors (see below), whose sum is σ = 171877888. Its totient is φ = 42223680.

The previous prime is 85845817. The next prime is 85845839. The reversal of 85845825 is 52854858.

It is not a de Polignac number, because 85845825 - 2³ = 85845817 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78432 + ... + 79518.

Almost surely, 2^85845825 is an apocalyptic number.

It is an amenable number.

85845825 is an abundant number, since it is smaller than the sum of its proper divisors (86032063).

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

85845825 is a wasteful number, since it uses less digits than its factorization.

85845825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1108 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 85845825 is about 9265.3022076994. The cubic root of 85845825 is about 441.1365674498.

The spelling of 85845825 in words is "eighty-five million, eight hundred forty-five thousand, eight hundred twenty-five".