17971 has 2 divisors, whose sum is σ = 17972. Its totient is φ = 17970.

The previous prime is 17959. The next prime is 17977.

17971 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 17971 - 2⁵ = 17939 is a prime.

It is a plaindrome in base 11 and base 14.

It is not a weakly prime, because it can be changed into another prime (17977) 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, 8985 + 8986.

It is an arithmetic number, because the mean of its divisors is an integer number (8986).

2¹⁷⁹⁷¹ is an apocalyptic number.

17971 is a deficient number, since it is larger than the sum of its proper divisors (1).

17971 is an equidigital number, since it uses as much as digits as its factorization.

17971 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 441, while the sum is 25.

The square root of 17971 is about 134.0559584651. The cubic root of 17971 is about 26.1933320249.

The spelling of 17971 in words is "seventeen thousand, nine hundred seventy-one".