11532 has 18 divisors (see below), whose sum is σ = 27804. Its totient is φ = 3720.

The previous prime is 11527. The next prime is 11549. The reversal of 11532 is 23511.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11532.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 357 + ... + 387.

2¹¹⁵³² is an apocalyptic number.

11532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11532 is an abundant number, since it is smaller than the sum of its proper divisors (16272).

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 (13902).

11532 is a wasteful number, since it uses less digits than its factorization.

11532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 36 counting only the distinct ones).

The product of its digits is 30, while the sum is 12.

The square root of 11532 is about 107.3871500693. The cubic root of 11532 is about 22.5927039387.

Multiplying 11532 by its sum of digits (12), we get a square (138384 = 372²).

11532 divided by its sum of digits (12) gives a square (961 = 31²).

The spelling of 11532 in words is "eleven thousand, five hundred thirty-two".