81132 has 12 divisors (see below), whose sum is σ = 189336. Its totient is φ = 27040.

The previous prime is 81131. The next prime is 81157. The reversal of 81132 is 23118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (81131) 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, 3369 + ... + 3392.

It is an arithmetic number, because the mean of its divisors is an integer number (15778).

2⁸¹¹³² is an apocalyptic number.

It is an amenable number.

81132 is an abundant number, since it is smaller than the sum of its proper divisors (108204).

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 (94668).

81132 is a wasteful number, since it uses less digits than its factorization.

81132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6766 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 81132 is about 284.8367953759. The cubic root of 81132 is about 43.2909776799.

It can be divided in two parts, 811 and 32, that multiplied together give a palindrome (25952).

The spelling of 81132 in words is "eighty-one thousand, one hundred thirty-two".