11557 has 8 divisors (see below), whose sum is σ = 14336. Its totient is φ = 9072.

The previous prime is 11551. The next prime is 11579. The reversal of 11557 is 75511.

11557 is nontrivially palindromic in base 9.

11557 is digitally balanced in base 2 and base 3, because in such bases 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 not a de Polignac number, because 11557 - 2³ = 11549 is a prime.

It is the 108-th Hogben number.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11551) by changing a digit.

It is a nontrivial repunit in base 107.

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 7 ways as a sum of consecutive naturals, for example, 28 + ... + 154.

It is an arithmetic number, because the mean of its divisors is an integer number (1792).

2¹¹⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

11557 is a deficient number, since it is larger than the sum of its proper divisors (2779).

11557 is a wasteful number, since it uses less digits than its factorization.

11557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147.

The product of its digits is 175, while the sum is 19.

The square root of 11557 is about 107.5034883155. The cubic root of 11557 is about 22.6090182507.

It can be divided in two parts, 115 and 57, that multiplied together give a triangular number (6555 = T₁₁₄).

The spelling of 11557 in words is "eleven thousand, five hundred fifty-seven".