11567 has 4 divisors (see below), whose sum is σ = 11880. Its totient is φ = 11256.

The previous prime is 11551. The next prime is 11579. The reversal of 11567 is 76511.

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 11567 - 2⁴ = 11551 is a prime.

It is a Duffinian number.

It is a plaindrome in base 10.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11527) 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, 92 + ... + 177.

It is an arithmetic number, because the mean of its divisors is an integer number (2970).

2¹¹⁵⁶⁷ is an apocalyptic number.

11567 is a deficient number, since it is larger than the sum of its proper divisors (313).

11567 is an equidigital number, since it uses as much as digits as its factorization.

11567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312.

The product of its digits is 210, while the sum is 20.

The square root of 11567 is about 107.5499883775. The cubic root of 11567 is about 22.6155373878.

The spelling of 11567 in words is "eleven thousand, five hundred sixty-seven".