66966 has 8 divisors (see below), whose sum is σ = 133944. Its totient is φ = 22320.

The previous prime is 66959. The next prime is 66973.

66966 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (66959) and next prime (66973).

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

66966 is an admirable number.

It is a congruent number.

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, 5575 + ... + 5586.

It is an arithmetic number, because the mean of its divisors is an integer number (16743).

2⁶⁶⁹⁶⁶ is an apocalyptic number.

66966 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 (66972).

66966 is a wasteful number, since it uses less digits than its factorization.

66966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11166.

The product of its digits is 11664, while the sum is 33.

The square root of 66966 is about 258.7778970469. Note that the first 3 decimals coincide. The cubic root of 66966 is about 40.6086095616.

The spelling of 66966 in words is "sixty-six thousand, nine hundred sixty-six".