84432 has 20 divisors (see below), whose sum is σ = 218240. Its totient is φ = 28128.

The previous prime is 84431. The next prime is 84437. The reversal of 84432 is 23448.

Added to its reverse (23448) it gives a triangular number (107880 = T₄₆₄).

It is a happy number.

84432 is nontrivially palindromic in base 7.

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

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84399 and 84408.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84432.

It is not an unprimeable number, because it can be changed into a prime (84431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 832 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (10912).

2⁸⁴⁴³² is an apocalyptic number.

It is an amenable number.

84432 is an abundant number, since it is smaller than the sum of its proper divisors (133808).

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 (109120).

84432 is a wasteful number, since it uses less digits than its factorization.

84432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1764 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 84432 is about 290.5718499786. The cubic root of 84432 is about 43.8701405321.

Adding to 84432 its reverse (23448), we get a triangular number (107880 = T₄₆₄).

The spelling of 84432 in words is "eighty-four thousand, four hundred thirty-two".