27966 has 16 divisors (see below), whose sum is σ = 57600. Its totient is φ = 9048.

The previous prime is 27961. The next prime is 27967. The reversal of 27966 is 66972.

27966 is a nontrivial binomial coefficient, being equal to C(237, 2).

It is a Curzon number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27961) by changing a digit.

27966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (3600).

2²⁷⁹⁶⁶ is an apocalyptic number.

27966 is the 236-th triangular number.

27966 is an abundant number, since it is smaller than the sum of its proper divisors (29634).

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 (28800).

27966 is a wasteful number, since it uses less digits than its factorization.

27966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143.

The product of its digits is 4536, while the sum is 30.

The square root of 27966 is about 167.2303800151. The cubic root of 27966 is about 30.3535937851.

The spelling of 27966 in words is "twenty-seven thousand, nine hundred sixty-six".