82816321 has 16 divisors (see below), whose sum is σ = 97776000. Its totient is φ = 70106064.

The previous prime is 82816313. The next prime is 82816387. The reversal of 82816321 is 12361828.

It is not a de Polignac number, because 82816321 - 2³ = 82816313 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82816121) 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, 27015 + ... + 29923.

It is an arithmetic number, because the mean of its divisors is an integer number (6111000).

Almost surely, 2^82816321 is an apocalyptic number.

It is an amenable number.

82816321 is a deficient number, since it is larger than the sum of its proper divisors (14959679).

82816321 is an equidigital number, since it uses as much as digits as its factorization.

82816321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3013 (or 2999 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 82816321 is about 9100.3473010649. The cubic root of 82816321 is about 435.8850540770.

The spelling of 82816321 in words is "eighty-two million, eight hundred sixteen thousand, three hundred twenty-one".