6966 has 20 divisors (see below), whose sum is σ = 15972. Its totient is φ = 2268.

The previous prime is 6961. The next prime is 6967. The reversal of 6966 is 6696.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961) by changing a digit.

6966 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 9 ways as a sum of consecutive naturals, for example, 141 + ... + 183.

2⁶⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7986).

6966 is an abundant number, since it is smaller than the sum of its proper divisors (9006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6966 is a wasteful number, since it uses less digits than its factorization.

6966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 48 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 6966 is about 83.4625664595. The cubic root of 6966 is about 19.0982902813.

It can be divided in two parts, 69 and 66, that multiplied together give a palindrome (4554).

The spelling of 6966 in words is "six thousand, nine hundred sixty-six".