85322952 has 96 divisors (see below), whose sum is σ = 271514880. Its totient is φ = 23863680.

The previous prime is 85322933. The next prime is 85322953. The reversal of 85322952 is 25922358.

It is a super-2 number, since 2×85322952² = 14560012275988608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (85322953) 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 23 ways as a sum of consecutive naturals, for example, 6153 + ... + 14439.

It is an arithmetic number, because the mean of its divisors is an integer number (2828280).

Almost surely, 2^85322952 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 85322952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135757440).

85322952 is an abundant number, since it is smaller than the sum of its proper divisors (186191928).

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

85322952 is a wasteful number, since it uses less digits than its factorization.

85322952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8323 (or 8316 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 85322952 is about 9237.0423837936. The cubic root of 85322952 is about 440.2391124581.

The spelling of 85322952 in words is "eighty-five million, three hundred twenty-two thousand, nine hundred fifty-two".