7966 has 8 divisors (see below), whose sum is σ = 13680. Its totient is φ = 3408.

The previous prime is 7963. The next prime is 7993. The reversal of 7966 is 6697.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7963) 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, 271 + ... + 298.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2⁷⁹⁶⁶ is an apocalyptic number.

7966 is a deficient number, since it is larger than the sum of its proper divisors (5714).

7966 is a wasteful number, since it uses less digits than its factorization.

7966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578.

The product of its digits is 2268, while the sum is 28.

The square root of 7966 is about 89.2524509467. The cubic root of 7966 is about 19.9716264327.

The spelling of 7966 in words is "seven thousand, nine hundred sixty-six".