18966 has 16 divisors (see below), whose sum is σ = 39600. Its totient is φ = 6048.

The previous prime is 18959. The next prime is 18973. The reversal of 18966 is 66981.

It is an interprime number because it is at equal distance from previous prime (18959) and next prime (18973).

It is a congruent number.

It is an unprimeable number.

18966 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, 120 + ... + 228.

It is an arithmetic number, because the mean of its divisors is an integer number (2475).

2¹⁸⁹⁶⁶ is an apocalyptic number.

18966 is an abundant number, since it is smaller than the sum of its proper divisors (20634).

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 (19800).

18966 is a wasteful number, since it uses less digits than its factorization.

18966 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 2592, while the sum is 30.

The square root of 18966 is about 137.7171013346. The cubic root of 18966 is about 26.6680902018.

The spelling of 18966 in words is "eighteen thousand, nine hundred sixty-six".