84832 has 24 divisors (see below), whose sum is σ = 182952. Its totient is φ = 38400.

The previous prime is 84827. The next prime is 84857. The reversal of 84832 is 23848.

84832 is nontrivially palindromic in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 84797 and 84806.

It is a congruent number.

It is an unprimeable number.

84832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 232 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (7623).

2⁸⁴⁸³² 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 84832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91476).

84832 is an abundant number, since it is smaller than the sum of its proper divisors (98120).

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

84832 is a wasteful number, since it uses less digits than its factorization.

84832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its digits is 1536, while the sum is 25.

The square root of 84832 is about 291.2593346144. The cubic root of 84832 is about 43.9393102678.

Adding to 84832 its product of digits (1536), we get a palindrome (86368).

The spelling of 84832 in words is "eighty-four thousand, eight hundred thirty-two".