27312 has 20 divisors (see below), whose sum is σ = 70680. Its totient is φ = 9088.

The previous prime is 27299. The next prime is 27329. The reversal of 27312 is 21372.

It is a junction number, because it is equal to n+sod(n) for n = 27291 and 27300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 237 + ... + 332.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2²⁷³¹² is an apocalyptic number.

It is an amenable number.

27312 is an abundant number, since it is smaller than the sum of its proper divisors (43368).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35340).

27312 is a wasteful number, since it uses less digits than its factorization.

27312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its digits is 84, while the sum is 15.

The square root of 27312 is about 165.2634260809. The cubic root of 27312 is about 30.1151132883.

Adding to 27312 its reverse (21372), we get a palindrome (48684).

The spelling of 27312 in words is "twenty-seven thousand, three hundred twelve", and thus it is an iban number.