82129824 has 72 divisors (see below), whose sum is σ = 266928480. Its totient is φ = 23465088.

The previous prime is 82129793. The next prime is 82129841. The reversal of 82129824 is 42892128.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18354 + ... + 22385.

It is an arithmetic number, because the mean of its divisors is an integer number (3707340).

Almost surely, 2^82129824 is an apocalyptic number.

82129824 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

82129824 is an abundant number, since it is smaller than the sum of its proper divisors (184798656).

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

82129824 is a wasteful number, since it uses less digits than its factorization.

82129824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40762 (or 40751 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 82129824 is about 9062.5506343413. The cubic root of 82129824 is about 434.6773032806.

Subtracting from 82129824 its reverse (42892128), we obtain a square (39237696 = 6264²).

The spelling of 82129824 in words is "eighty-two million, one hundred twenty-nine thousand, eight hundred twenty-four".