12671 has 2 divisors, whose sum is σ = 12672. Its totient is φ = 12670.

The previous prime is 12659. The next prime is 12689. The reversal of 12671 is 17621.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12671 is a prime.

It is a Sophie Germain prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 12671.

It is not a weakly prime, because it can be changed into another prime (12601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6335 + 6336.

It is an arithmetic number, because the mean of its divisors is an integer number (6336).

2¹²⁶⁷¹ is an apocalyptic number.

12671 is a deficient number, since it is larger than the sum of its proper divisors (1).

12671 is an equidigital number, since it uses as much as digits as its factorization.

12671 is an evil number, because the sum of its binary digits is even.

The product of its digits is 84, while the sum is 17.

The square root of 12671 is about 112.5655364665. The cubic root of 12671 is about 23.3132934512.

Subtracting 12671 from its reverse (17621), we obtain a triangular number (4950 = T₉₉).

The spelling of 12671 in words is "twelve thousand, six hundred seventy-one".