6967 has 2 divisors, whose sum is σ = 6968. Its totient is φ = 6966.

The previous prime is 6961. The next prime is 6971. The reversal of 6967 is 7696.

Subtracting 6967 from its reverse (7696), we obtain a 6-th power (729 = 3^{6}).

It can be divided in two parts, 696 and 7, that added together give a triangular number (703 = T_{37}).

6967 is nontrivially palindromic in base 9.

It is a strong prime.

6967 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 6967 - 2^{3} = 6959 is a prime.

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

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3483 + 3484.

It is an arithmetic number, because the mean of its divisors is an integer number (3484).

2^{6967} is an apocalyptic number.

6967 is a deficient number, since it is larger than the sum of its proper divisors (1).

6967 is an equidigital number, since it uses as much as digits as its factorization.

6967 is an odious number, because the sum of its binary digits is odd.

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

The square root of 6967 is about 83.4685569541. The cubic root of 6967 is about 19.0992041188.

The spelling of 6967 in words is "six thousand, nine hundred sixty-seven".

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