85852224 has 70 divisors (see below), whose sum is σ = 254508254. Its totient is φ = 28615680.

The previous prime is 85852219. The next prime is 85852229. The reversal of 85852224 is 42225858.

It is an interprime number because it is at equal distance from previous prime (85852219) and next prime (85852229).

It can be written as a sum of positive squares in only one way, i.e., 51840000 + 34012224 = 7200^2 + 5832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85852229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3097 + ... + 13464.

Almost surely, 2^85852224 is an apocalyptic number.

It is an amenable number.

85852224 is an abundant number, since it is smaller than the sum of its proper divisors (168656030).

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

85852224 is a wasteful number, since it uses less digits than its factorization.

85852224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16585 (or 16566 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 85852224 is about 9265.6475218951. The cubic root of 85852224 is about 441.1475280401.

The spelling of 85852224 in words is "eighty-five million, eight hundred fifty-two thousand, two hundred twenty-four".