11667 has 4 divisors (see below), whose sum is σ = 15560. Its totient is φ = 7776.

The previous prime is 11657. The next prime is 11677. The reversal of 11667 is 76611.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 76611 = 3 ⋅25537.

It is an interprime number because it is at equal distance from previous prime (11657) and next prime (11677).

It is not a de Polignac number, because 11667 - 2⁸ = 11411 is a prime.

It is a super-2 number, since 2×11667² = 272237778, which contains 22 as substring.

It is a D-number.

It is a Duffinian number.

11667 is a lucky number.

It is a plaindrome in base 10 and base 15.

It is not an unprimeable number, because it can be changed into a prime (11617) 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, 1942 + ... + 1947.

It is an arithmetic number, because the mean of its divisors is an integer number (3890).

2¹¹⁶⁶⁷ is an apocalyptic number.

11667 is a deficient number, since it is larger than the sum of its proper divisors (3893).

11667 is an equidigital number, since it uses as much as digits as its factorization.

11667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892.

The product of its digits is 252, while the sum is 21.

The square root of 11667 is about 108.0138879959. The cubic root of 11667 is about 22.6805230540.

It can be divided in two parts, 11 and 667, that multiplied together give a palindrome (7337).

The spelling of 11667 in words is "eleven thousand, six hundred sixty-seven".