85825818 has 80 divisors (see below), whose sum is σ = 210028896. Its totient is φ = 26036640.

The previous prime is 85825813. The next prime is 85825823. The reversal of 85825818 is 81852858.

85825818 is a `hidden beast` number, since 8 + 582 + 58 + 18 = 666.

It is an interprime number because it is at equal distance from previous prime (85825813) and next prime (85825823).

It is not an unprimeable number, because it can be changed into a prime (85825813) 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 39 ways as a sum of consecutive naturals, for example, 174553 + ... + 175043.

Almost surely, 2^85825818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85825818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105014448).

85825818 is an abundant number, since it is smaller than the sum of its proper divisors (124203078).

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

85825818 is a wasteful number, since it uses less digits than its factorization.

85825818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its digits is 204800, while the sum is 45.

The square root of 85825818 is about 9264.2224714220. Note that the first 3 decimals coincide. The cubic root of 85825818 is about 441.1022947482.

It can be divided in two parts, 8582 and 5818, that added together give a square (14400 = 120²).

The spelling of 85825818 in words is "eighty-five million, eight hundred twenty-five thousand, eight hundred eighteen".