11655 has 24 divisors (see below), whose sum is σ = 23712. Its totient is φ = 5184.

The previous prime is 11633. The next prime is 11657. The reversal of 11655 is 55611.

11655 is a `hidden beast` number, since 11 + 655 = 666.

It is not a de Polignac number, because 11655 - 2⁷ = 11527 is a prime.

It is a nialpdrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297 + ... + 333.

It is an arithmetic number, because the mean of its divisors is an integer number (988).

2¹¹⁶⁵⁵ is an apocalyptic number.

11655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11655 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856).

11655 is a wasteful number, since it uses less digits than its factorization.

11655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

The product of its digits is 150, while the sum is 18.

The square root of 11655 is about 107.9583252927. The cubic root of 11655 is about 22.6727444294.

Subtracting 11655 from its reverse (55611), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 116 and 55, that added together give a palindrome (171).

The spelling of 11655 in words is "eleven thousand, six hundred fifty-five".