8221152 has 48 divisors (see below), whose sum is σ = 22332240. Its totient is φ = 2644992.

The previous prime is 8221139. The next prime is 8221177. The reversal of 8221152 is 2511228.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1308 + ... + 4260.

It is an arithmetic number, because the mean of its divisors is an integer number (465255).

Almost surely, 2^8221152 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 8221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11166120).

8221152 is an abundant number, since it is smaller than the sum of its proper divisors (14111088).

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

8221152 is a wasteful number, since it uses less digits than its factorization.

8221152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2987 counting only the distinct ones).

The product of its digits is 320, while the sum is 21.

The square root of 8221152 is about 2867.2551333985. The cubic root of 8221152 is about 201.8262074119.

The spelling of 8221152 in words is "eight million, two hundred twenty-one thousand, one hundred fifty-two".