971 has 2 divisors, whose sum is σ = 972. Its totient is φ = 970.

The previous prime is 967. The next prime is 977. The reversal of 971 is 179.

It is a weak prime.

It is an emirp because it is prime and its reverse (179) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 971 - 2^{2} = 967 is a prime.

It is a Chen prime.

It is a plaindrome in base 7, base 9, base 12, base 13 and base 15.

It is a nialpdrome in base 10.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 971.

It is not a weakly prime, because it can be changed into another prime (977) 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, 485 + 486.

It is an arithmetic number, because the mean of its divisors is an integer number (486).

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

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

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

The product of its digits is 63, while the sum is 17.

The square root of 971 is about 31.1608729018. The cubic root of 971 is about 9.9023835366.

The spelling of 971 in words is "nine hundred seventy-one", and thus it is an aban number.

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