6977 has 2 divisors, whose sum is σ = 6978. Its totient is φ = 6976.

The previous prime is 6971. The next prime is 6983. The reversal of 6977 is 7796.

It is a balanced prime because it is at equal distance from previous prime (6971) and next prime (6983).

It can be written as a sum of positive squares in only one way, i.e., 5041 + 1936 = 71^2 + 44^2 .

It is a cyclic number.

It is not a de Polignac number, because 6977 - 2⁴ = 6961 is a prime.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 6977.

It is not a weakly prime, because it can be changed into another prime (6971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3488 + 3489.

It is an arithmetic number, because the mean of its divisors is an integer number (3489).

2⁶⁹⁷⁷ is an apocalyptic number.

It is an amenable number.

6977 is a deficient number, since it is larger than the sum of its proper divisors (1).

6977 is an equidigital number, since it uses as much as digits as its factorization.

6977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2646, while the sum is 29.

The square root of 6977 is about 83.5284382710. The cubic root of 6977 is about 19.1083376882.

The spelling of 6977 in words is "six thousand, nine hundred seventy-seven".