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967 is a prime number

967 has 2 divisors, whose sum is σ = 968. Its totient is φ = 966.

The previous prime is 953. The next prime is 971. The reversal of 967 is 769.

967 is nontrivially palindromic in base 13.

It is a strong prime.

967 is a truncatable prime.

It is an emirp because it is prime and its reverse (769) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 967 - 27 = 839 is a prime.

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

967 is an undulating number in base 13.

It is a plaindrome in base 11 and base 15.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483 + 484.

It is an arithmetic number, because the mean of its divisors is an integer number (484).

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

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

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

The product of its digits is 378, while the sum is 22.

The square root of 967 is about 31.0966236109. The cubic root of 967 is about 9.8887673165. Note that the first 3 decimals are identical.

Adding to 967 its sum of digits (22), we get a palindrome (989).

The spelling of 967 in words is "nine hundred sixty-seven", and thus it is an aban number and an oban number.