11546 has 8 divisors (see below), whose sum is σ = 18144. Its totient is φ = 5500.

The previous prime is 11527. The next prime is 11549. The reversal of 11546 is 64511.

It is a happy number.

11546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11546.

It is not an unprimeable number, because it can be changed into a prime (11549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 80 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

2¹¹⁵⁴⁶ is an apocalyptic number.

11546 is a deficient number, since it is larger than the sum of its proper divisors (6598).

11546 is a wasteful number, since it uses less digits than its factorization.

11546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276.

The product of its digits is 120, while the sum is 17.

The square root of 11546 is about 107.4523150053. The cubic root of 11546 is about 22.6018428549.

It can be divided in two parts, 115 and 46, that added together give a palindrome (161).

The spelling of 11546 in words is "eleven thousand, five hundred forty-six".