85219884 has 48 divisors (see below), whose sum is σ = 221734240. Its totient is φ = 28304640.

The previous prime is 85219879. The next prime is 85219889. The reversal of 85219884 is 48891258.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85219879) and next prime (85219889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85219889) 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 15 ways as a sum of consecutive naturals, for example, 32544 + ... + 35064.

Almost surely, 2^85219884 is an apocalyptic number.

It is an amenable number.

85219884 is an abundant number, since it is smaller than the sum of its proper divisors (136514356).

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

85219884 is a wasteful number, since it uses less digits than its factorization.

85219884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2839 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 85219884 is about 9231.4616394155. The cubic root of 85219884 is about 440.0617750731.

It can be divided in two parts, 852 and 19884, that added together give a 4-th power (20736 = 12⁴).

The spelling of 85219884 in words is "eighty-five million, two hundred nineteen thousand, eight hundred eighty-four".