85752282 has 64 divisors (see below), whose sum is σ = 225100800. Its totient is φ = 21098880.

The previous prime is 85752281. The next prime is 85752313. The reversal of 85752282 is 28225758.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 85752282.

It is not an unprimeable number, because it can be changed into a prime (85752281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3894 + ... + 13662.

It is an arithmetic number, because the mean of its divisors is an integer number (3517200).

Almost surely, 2^85752282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85752282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112550400).

85752282 is an abundant number, since it is smaller than the sum of its proper divisors (139348518).

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

85752282 is a wasteful number, since it uses less digits than its factorization.

85752282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9811.

The product of its digits is 89600, while the sum is 39.

The square root of 85752282 is about 9260.2528043245. The cubic root of 85752282 is about 440.9762791834.

The spelling of 85752282 in words is "eighty-five million, seven hundred fifty-two thousand, two hundred eighty-two".