82384200 has 144 divisors (see below), whose sum is σ = 284380980. Its totient is φ = 21358080.

The previous prime is 82384187. The next prime is 82384231. The reversal of 82384200 is 248328.

82384200 is a `hidden beast` number, since 8 + 238 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 58706244 + 23677956 = 7662^2 + 4866^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65982 + ... + 67218.

Almost surely, 2^82384200 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 82384200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142190490).

82384200 is an abundant number, since it is smaller than the sum of its proper divisors (201996780).

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

82384200 is a wasteful number, since it uses less digits than its factorization.

82384200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 82384200 is about 9076.5742436230. The cubic root of 82384200 is about 435.1256078013.

The spelling of 82384200 in words is "eighty-two million, three hundred eighty-four thousand, two hundred".