6961 has 2 divisors, whose sum is σ = 6962. Its totient is φ = 6960.

The previous prime is 6959. The next prime is 6967. The reversal of 6961 is 1696.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6561 + 400 = 81^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 6961 - 2¹ = 6959 is a prime.

Together with 6959, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (6967) by changing a digit.

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 as a sum of consecutive naturals, namely, 3480 + 3481.

It is an arithmetic number, because the mean of its divisors is an integer number (3481).

2⁶⁹⁶¹ is an apocalyptic number.

It is an amenable number.

6961 is a deficient number, since it is larger than the sum of its proper divisors (1).

6961 is an equidigital number, since it uses as much as digits as its factorization.

6961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 324, while the sum is 22.

The square root of 6961 is about 83.4326075345. The cubic root of 6961 is about 19.0937197813.

The spelling of 6961 in words is "six thousand, nine hundred sixty-one".