27916 has 12 divisors (see below), whose sum is σ = 55888. Its totient is φ = 11952.

The previous prime is 27901. The next prime is 27917. The reversal of 27916 is 61972.

27916 is an admirable number.

It is a super-3 number, since 3×27916³ = 65265072333888, which contains 333 as substring.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (27917) by changing a digit.

27916 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 471 + ... + 526.

2²⁷⁹¹⁶ is an apocalyptic number.

It is an amenable number.

27916 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (27944).

27916 is a wasteful number, since it uses less digits than its factorization.

27916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its digits is 756, while the sum is 25.

The square root of 27916 is about 167.0808187674. The cubic root of 27916 is about 30.3354934124.

The spelling of 27916 in words is "twenty-seven thousand, nine hundred sixteen".