83005824 has 128 divisors (see below), whose sum is σ = 246660480. Its totient is φ = 24514560.

The previous prime is 83005823. The next prime is 83005829. The reversal of 83005824 is 42850038.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 83005791 and 83005800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83005823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181404 + ... + 181860.

It is an arithmetic number, because the mean of its divisors is an integer number (1927035).

Almost surely, 2^83005824 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 83005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123330240).

83005824 is an abundant number, since it is smaller than the sum of its proper divisors (163654656).

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

83005824 is a wasteful number, since it uses less digits than its factorization.

83005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 83005824 is about 9110.7532070625. The cubic root of 83005824 is about 436.2172695975.

The spelling of 83005824 in words is "eighty-three million, five thousand, eight hundred twenty-four".