9312 has 24 divisors (see below), whose sum is σ = 24696. Its totient is φ = 3072.

The previous prime is 9311. The next prime is 9319. The reversal of 9312 is 2139.

9312 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 9291 and 9300.

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 9312.

It is not an unprimeable number, because it can be changed into a prime (9311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 144.

It is an arithmetic number, because the mean of its divisors is an integer number (1029).

2⁹³¹² is an apocalyptic number.

It is a pronic number, being equal to 96×97.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348).

9312 is an abundant number, since it is smaller than the sum of its proper divisors (15384).

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

9312 is a wasteful number, since it uses less digits than its factorization.

9312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its digits is 54, while the sum is 15.

The square root of 9312 is about 96.4987046545. The cubic root of 9312 is about 21.0384782063.

It can be divided in two parts, 93 and 12, that added together give a triangular number (105 = T₁₄).

The spelling of 9312 in words is "nine thousand, three hundred twelve".