83824 has 30 divisors (see below), whose sum is σ = 181536. Its totient is φ = 37440.

The previous prime is 83813. The next prime is 83833. The reversal of 83824 is 42838.

83824 = T₁₀₇ + T₁₀₈ + ... + T₁₁₉.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2689 + ... + 2719.

2⁸³⁸²⁴ 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 83824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90768).

83824 is an abundant number, since it is smaller than the sum of its proper divisors (97712).

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

83824 is a wasteful number, since it uses less digits than its factorization.

83824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 46 counting only the distinct ones).

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

The square root of 83824 is about 289.5237468672. The cubic root of 83824 is about 43.7645828937.

The spelling of 83824 in words is "eighty-three thousand, eight hundred twenty-four".