84032 has 28 divisors (see below), whose sum is σ = 181356. Its totient is φ = 38400.

The previous prime is 84017. The next prime is 84047. The reversal of 84032 is 23048.

84032 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (84017) and next prime (84047).

It can be written as a sum of positive squares in 2 ways, for example, as 50176 + 33856 = 224^2 + 184^2 .

It is a super-2 number, since 2×84032² = 14122754048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84032.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84032.

It is an unprimeable number.

84032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 782 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (6477).

2⁸⁴⁰³² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90678).

84032 is an abundant number, since it is smaller than the sum of its proper divisors (97324).

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

84032 is a wasteful number, since it uses less digits than its factorization.

84032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 84032 is about 289.8827349119. The cubic root of 84032 is about 43.8007519870.

The spelling of 84032 in words is "eighty-four thousand, thirty-two".