67667 has 4 divisors (see below), whose sum is σ = 68256. Its totient is φ = 67080.

The previous prime is 67651. The next prime is 67679. The reversal of 67667 is 76676.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 67667 - 2⁴ = 67651 is a prime.

It is a Duffinian number.

Its product of digits (10584) is a multiple of the sum of its prime divisors (588).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67607) 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, 59 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (17064).

2⁶⁷⁶⁶⁷ is an apocalyptic number.

67667 is a deficient number, since it is larger than the sum of its proper divisors (589).

67667 is a wasteful number, since it uses less digits than its factorization.

67667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588.

The product of its digits is 10584, while the sum is 32.

The square root of 67667 is about 260.1288142440. The cubic root of 67667 is about 40.7498149464.

Subtracting 67667 from its reverse (76676), we obtain a palindrome (9009).

The spelling of 67667 in words is "sixty-seven thousand, six hundred sixty-seven".