8221312 has 32 divisors (see below), whose sum is σ = 17870400. Its totient is φ = 3736320.

The previous prime is 8221277. The next prime is 8221313. The reversal of 8221312 is 2131228.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8221312.

It is not an unprimeable number, because it can be changed into a prime (8221313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1512 + ... + 4327.

It is an arithmetic number, because the mean of its divisors is an integer number (558450).

Almost surely, 2^8221312 is an apocalyptic number.

It is an amenable number.

8221312 is an abundant number, since it is smaller than the sum of its proper divisors (9649088).

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

8221312 is a wasteful number, since it uses less digits than its factorization.

8221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 5852 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 8221312 is about 2867.2830345119. The cubic root of 8221312 is about 201.8275167168.

The spelling of 8221312 in words is "eight million, two hundred twenty-one thousand, three hundred twelve".