82084321 has 8 divisors (see below), whose sum is σ = 89794944. Its totient is φ = 74415120.

The previous prime is 82084271. The next prime is 82084357. The reversal of 82084321 is 12348028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 82084321 - 2¹³ = 82076129 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82084321.

It is not an unprimeable number, because it can be changed into a prime (82084391) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6130 + ... + 14203.

It is an arithmetic number, because the mean of its divisors is an integer number (11224368).

Almost surely, 2^82084321 is an apocalyptic number.

It is an amenable number.

82084321 is a deficient number, since it is larger than the sum of its proper divisors (7710623).

82084321 is a wasteful number, since it uses less digits than its factorization.

82084321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20711.

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 82084321 is about 9060.0397901996. The cubic root of 82084321 is about 434.5970126128.

The spelling of 82084321 in words is "eighty-two million, eighty-four thousand, three hundred twenty-one".