18671 has 2 divisors, whose sum is σ = 18672. Its totient is φ = 18670.

The previous prime is 18661. The next prime is 18679. The reversal of 18671 is 17681.

It is a strong prime.

It is an emirp because it is prime and its reverse (17681) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 18671 - 2¹⁴ = 2287 is a prime.

It is a Chen prime.

It is a plaindrome in base 6 and base 16.

It is a nialpdrome in base 13.

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 18671.

It is not a weakly prime, because it can be changed into another prime (18679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9335 + 9336.

It is an arithmetic number, because the mean of its divisors is an integer number (9336).

2¹⁸⁶⁷¹ is an apocalyptic number.

18671 is a deficient number, since it is larger than the sum of its proper divisors (1).

18671 is an equidigital number, since it uses as much as digits as its factorization.

18671 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 336, while the sum is 23.

The square root of 18671 is about 136.6418676687. The cubic root of 18671 is about 26.5291005821.

Subtracting from 18671 its reverse (17681), we obtain a triangular number (990 = T₄₄).

The spelling of 18671 in words is "eighteen thousand, six hundred seventy-one".