3966 has 8 divisors (see below), whose sum is σ = 7944. Its totient is φ = 1320.

The previous prime is 3947. The next prime is 3967. The reversal of 3966 is 6693.

It is a sphenic number, since it is the product of 3 distinct primes.

3966 is an admirable number.

It is a Curzon number.

It is a plaindrome in base 12.

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 3966.

It is not an unprimeable number, because it can be changed into a prime (3967) 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, 325 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (993).

2³⁹⁶⁶ is an apocalyptic number.

3966 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 (3972).

3966 is a wasteful number, since it uses less digits than its factorization.

3966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666.

The product of its digits is 972, while the sum is 24.

The square root of 3966 is about 62.9761859753. The cubic root of 3966 is about 15.8289061183.

It can be divided in two parts, 39 and 66, that added together give a triangular number (105 = T₁₄).

The spelling of 3966 in words is "three thousand, nine hundred sixty-six".