8312 has 8 divisors (see below), whose sum is σ = 15600. Its totient is φ = 4152.

The previous prime is 8311. The next prime is 8317. The reversal of 8312 is 2138.

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 8312.

It is not an unprimeable number, because it can be changed into a prime (8311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 512 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (1950).

2⁸³¹² is an apocalyptic number.

It is an amenable number.

8312 is a deficient number, since it is larger than the sum of its proper divisors (7288).

8312 is a wasteful number, since it uses less digits than its factorization.

8312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1041 counting only the distinct ones).

The product of its digits is 48, while the sum is 14.

The square root of 8312 is about 91.1701705603. The cubic root of 8312 is about 20.2566913821.

The spelling of 8312 in words is "eight thousand, three hundred twelve".