13671 has 18 divisors (see below), whose sum is σ = 23712. Its totient is φ = 7560.

The previous prime is 13669. The next prime is 13679. The reversal of 13671 is 17631.

13671 = 4² + 5² + ... + 34².

It is not a de Polignac number, because 13671 - 2¹ = 13669 is a prime.

13671 is an undulating number in base 5.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13679) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 426 + ... + 456.

2¹³⁶⁷¹ is an apocalyptic number.

13671 is a deficient number, since it is larger than the sum of its proper divisors (10041).

13671 is a wasteful number, since it uses less digits than its factorization.

13671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 41 counting only the distinct ones).

The product of its digits is 126, while the sum is 18.

The square root of 13671 is about 116.9230516194. The cubic root of 13671 is about 23.9111296588.

Adding to 13671 its sum of digits (18), we get a square (13689 = 117²).

The spelling of 13671 in words is "thirteen thousand, six hundred seventy-one".