8193312 has 120 divisors (see below), whose sum is σ = 25155900. Its totient is φ = 2612736.

The previous prime is 8193307. The next prime is 8193319. The reversal of 8193312 is 2133918.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 104976 = 2844^2 + 324^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (8193319) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75114 + ... + 75222.

Almost surely, 2^8193312 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 8193312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577950).

8193312 is an abundant number, since it is smaller than the sum of its proper divisors (16962588).

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

8193312 is a wasteful number, since it uses less digits than its factorization.

8193312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 8193312 is about 2862.3961989913. The cubic root of 8193312 is about 201.5981292343.

The spelling of 8193312 in words is "eight million, one hundred ninety-three thousand, three hundred twelve".