11541 has 4 divisors (see below), whose sum is σ = 15392. Its totient is φ = 7692.

The previous prime is 11527. The next prime is 11549. The reversal of 11541 is 14511.

It is a happy number.

11541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a de Polignac number, because none of the positive numbers 2^{k}-11541 is a prime.

It is a D-number.

It is a Duffinian number.

11541 is a lucky number.

It is a nialpdrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 11541.

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, 1921 + ... + 1926.

It is an arithmetic number, because the mean of its divisors is an integer number (3848).

2^{11541} is an apocalyptic number.

It is an amenable number.

11541 is a deficient number, since it is larger than the sum of its proper divisors (3851).

11541 is an equidigital number, since it uses as much as digits as its factorization.

11541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850.

The product of its digits is 20, while the sum is 12.

The square root of 11541 is about 107.4290463515. The cubic root of 11541 is about 22.5985798048.

The spelling of 11541 in words is "eleven thousand, five hundred forty-one".

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