82839321 has 32 divisors (see below), whose sum is σ = 126259200. Its totient is φ = 53660880.

The previous prime is 82839277. The next prime is 82839349. The reversal of 82839321 is 12393828.

It is a happy number.

It is not a de Polignac number, because 82839321 - 2⁷ = 82839193 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82839121) 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 31 ways as a sum of consecutive naturals, for example, 151170 + ... + 151716.

It is an arithmetic number, because the mean of its divisors is an integer number (3945600).

Almost surely, 2^82839321 is an apocalyptic number.

It is an amenable number.

82839321 is a deficient number, since it is larger than the sum of its proper divisors (43419879).

82839321 is a wasteful number, since it uses less digits than its factorization.

82839321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 700 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 82839321 is about 9101.6109013734. The cubic root of 82839321 is about 435.9254021154.

The spelling of 82839321 in words is "eighty-two million, eight hundred thirty-nine thousand, three hundred twenty-one".