67671 has 12 divisors (see below), whose sum is σ = 100048. Its totient is φ = 44064.

The previous prime is 67651. The next prime is 67679. The reversal of 67671 is 17676.

It is not a de Polignac number, because 67671 - 2⁶ = 67607 is a prime.

It is a Duffinian number.

67671 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67679) 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 in 11 ways as a sum of consecutive naturals, for example, 606 + ... + 708.

2⁶⁷⁶⁷¹ is an apocalyptic number.

67671 is a deficient number, since it is larger than the sum of its proper divisors (32377).

67671 is a wasteful number, since it uses less digits than its factorization.

67671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 179 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 67671 is about 260.1365026289. The cubic root of 67671 is about 40.7506178786.

It can be divided in two parts, 676 and 71, that added together give a palindrome (747).

The spelling of 67671 in words is "sixty-seven thousand, six hundred seventy-one".