11355 has 8 divisors (see below), whose sum is σ = 18192. Its totient is φ = 6048.

The previous prime is 11353. The next prime is 11369. The reversal of 11355 is 55311.

11355 is digitally balanced in base 3, 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 not a de Polignac number, because 11355 - 2¹ = 11353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 757 = 11355 / (1 + 1 + 3 + 5 + 5).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 393.

It is an arithmetic number, because the mean of its divisors is an integer number (2274).

2¹¹³⁵⁵ is an apocalyptic number.

11355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11355 is a deficient number, since it is larger than the sum of its proper divisors (6837).

11355 is an equidigital number, since it uses as much as digits as its factorization.

11355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765.

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

The square root of 11355 is about 106.5598423422. The cubic root of 11355 is about 22.4765187130.

11355 divided by its sum of digits (15) gives a palindrome (757).

Adding to 11355 its reverse (55311), we get a palindrome (66666).

Subtracting 11355 from its reverse (55311), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 11355 in words is "eleven thousand, three hundred fifty-five".