11553 has 4 divisors (see below), whose sum is σ = 15408. Its totient is φ = 7700.

The previous prime is 11551. The next prime is 11579. The reversal of 11553 is 35511.

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 cyclic number.

It is not a de Polignac number, because 11553 - 2¹ = 11551 is a prime.

It is a D-number.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11553.

It is not an unprimeable number, because it can be changed into a prime (11551) 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, 1923 + ... + 1928.

It is an arithmetic number, because the mean of its divisors is an integer number (3852).

2¹¹⁵⁵³ is an apocalyptic number.

It is an amenable number.

11553 is a deficient number, since it is larger than the sum of its proper divisors (3855).

11553 is an equidigital number, since it uses as much as digits as its factorization.

11553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854.

The product of its digits is 75, while the sum is 15.

The square root of 11553 is about 107.4848826580. The cubic root of 11553 is about 22.6064095429.

Adding to 11553 its product of digits (75), we get a triangular number (11628 = T₁₅₂).

The spelling of 11553 in words is "eleven thousand, five hundred fifty-three".