84132 has 48 divisors (see below), whose sum is σ = 235200. Its totient is φ = 25920.

The previous prime is 84131. The next prime is 84137. The reversal of 84132 is 23148.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2032 + ... + 2072.

It is an arithmetic number, because the mean of its divisors is an integer number (4900).

2⁸⁴¹³² is an apocalyptic number.

84132 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117600).

84132 is an abundant number, since it is smaller than the sum of its proper divisors (151068).

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

84132 is a wasteful number, since it uses less digits than its factorization.

84132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 65 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 84132 is about 290.0551671665. The cubic root of 84132 is about 43.8181197313.

It can be divided in two parts, 84 and 132, that added together give a cube (216 = 6³).

The spelling of 84132 in words is "eighty-four thousand, one hundred thirty-two".