85557252 has 48 divisors (see below), whose sum is σ = 219046464. Its totient is φ = 25776000.

The previous prime is 85557161. The next prime is 85557271. The reversal of 85557252 is 25275558.

It is a self number, because there is not a number n which added to its sum of digits gives 85557252.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22102 + ... + 25682.

It is an arithmetic number, because the mean of its divisors is an integer number (4563468).

Almost surely, 2^85557252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85557252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109523232).

85557252 is an abundant number, since it is smaller than the sum of its proper divisors (133489212).

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

85557252 is a wasteful number, since it uses less digits than its factorization.

85557252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3780 (or 3778 counting only the distinct ones).

The product of its digits is 140000, while the sum is 39.

The square root of 85557252 is about 9249.7163199744. The cubic root of 85557252 is about 440.6417151548.

The spelling of 85557252 in words is "eighty-five million, five hundred fifty-seven thousand, two hundred fifty-two".