11067 has 16 divisors (see below), whose sum is σ = 18432. Its totient is φ = 5760.

The previous prime is 11059. The next prime is 11069. The reversal of 11067 is 76011.

11067 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

11067 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 11067 - 2³ = 11059 is a prime.

11067 is an undulating number in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11067.

It is not an unprimeable number, because it can be changed into a prime (11069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342 + ... + 372.

It is an arithmetic number, because the mean of its divisors is an integer number (1152).

2¹¹⁰⁶⁷ is an apocalyptic number.

11067 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

11067 is a deficient number, since it is larger than the sum of its proper divisors (7365).

11067 is a wasteful number, since it uses less digits than its factorization.

11067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11067 is about 105.1998098858. The cubic root of 11067 is about 22.2848630745.

Subtracting from 11067 its product of nonzero digits (42), we obtain a square (11025 = 105²).

Adding to 11067 its reverse (76011), we get a palindrome (87078).

The spelling of 11067 in words is "eleven thousand, sixty-seven".