83832 has 32 divisors (see below), whose sum is σ = 240000. Its totient is φ = 23904.

The previous prime is 83813. The next prime is 83833. The reversal of 83832 is 23838.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82 + ... + 417.

It is an arithmetic number, because the mean of its divisors is an integer number (7500).

2⁸³⁸³² is an apocalyptic number.

It is an amenable number.

83832 is an abundant number, since it is smaller than the sum of its proper divisors (156168).

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 (120000).

83832 is a wasteful number, since it uses less digits than its factorization.

83832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 511 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 83832 is about 289.5375623300. The cubic root of 83832 is about 43.7659751184.

It can be divided in two parts, 8383 and 2, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 83832 in words is "eighty-three thousand, eight hundred thirty-two".