6976 has 14 divisors (see below), whose sum is σ = 13970. Its totient is φ = 3456.

The previous prime is 6971. The next prime is 6977. The reversal of 6976 is 6796.

6976 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 6400 + 576 = 80^2 + 24^2 .

It is a d-powerful number, because it can be written as **6**^{2} + **7**^{3} + **9**^{4} + **6**^{2} .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10 + ... + 118.

2^{6976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6985).

6976 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.

6976 is a wasteful number, since it uses less digits than its factorization.

6976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

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

The square root of 6976 is about 83.5224520713. The cubic root of 6976 is about 19.1074247241.

It can be divided in two parts, 697 and 6, that added together give a triangular number (703 = T_{37}).

The spelling of 6976 in words is "six thousand, nine hundred seventy-six".

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