17671 has 4 divisors (see below), whose sum is σ = 18144. Its totient is φ = 17200.

The previous prime is 17669. The next prime is 17681.

17671 is nontrivially palindromic in base 10.

17671 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 17671 - 2¹ = 17669 is a prime.

It is a Duffinian number.

17671 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17681) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175 + ... + 256.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2¹⁷⁶⁷¹ is an apocalyptic number.

17671 is a deficient number, since it is larger than the sum of its proper divisors (473).

17671 is an equidigital number, since it uses as much as digits as its factorization.

17671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472.

The product of its digits is 294, while the sum is 22.

The square root of 17671 is about 132.9323136036. The cubic root of 17671 is about 26.0467600349.

The spelling of 17671 in words is "seventeen thousand, six hundred seventy-one".