13667 has 4 divisors (see below), whose sum is σ = 13920. Its totient is φ = 13416.

The previous prime is 13649. The next prime is 13669. The reversal of 13667 is 76631.

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 13667 - 2⁸ = 13411 is a prime.

It is a Duffinian number.

Its product of digits (756) is a multiple of the sum of its prime divisors (252).

It is a plaindrome in base 10 and base 12.

It is not an unprimeable number, because it can be changed into a prime (13669) 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, 8 + ... + 165.

It is an arithmetic number, because the mean of its divisors is an integer number (3480).

2¹³⁶⁶⁷ is an apocalyptic number.

13667 is a deficient number, since it is larger than the sum of its proper divisors (253).

13667 is an equidigital number, since it uses as much as digits as its factorization.

13667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its digits is 756, while the sum is 23.

The square root of 13667 is about 116.9059451012. The cubic root of 13667 is about 23.9087973776.

The spelling of 13667 in words is "thirteen thousand, six hundred sixty-seven".