82005824 has 56 divisors (see below), whose sum is σ = 181416960. Its totient is φ = 36550656.

The previous prime is 82005817. The next prime is 82005827. The reversal of 82005824 is 42850028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82005827) 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, 18689 + ... + 22655.

Almost surely, 2^82005824 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 82005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90708480).

82005824 is an abundant number, since it is smaller than the sum of its proper divisors (99411136).

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

82005824 is a wasteful number, since it uses less digits than its factorization.

82005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 82005824 is about 9055.7067090316. The cubic root of 82005824 is about 434.4584338050.

The spelling of 82005824 in words is "eighty-two million, five thousand, eight hundred twenty-four".