82321323 has 24 divisors (see below), whose sum is σ = 128296512. Its totient is φ = 46814544.

The previous prime is 82321289. The next prime is 82321331. The reversal of 82321323 is 32312328.

It is not a de Polignac number, because 82321323 - 2⁸ = 82321067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82321293 and 82321302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82321373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32136 + ... + 34602.

It is an arithmetic number, because the mean of its divisors is an integer number (5345688).

Almost surely, 2^82321323 is an apocalyptic number.

82321323 is a deficient number, since it is larger than the sum of its proper divisors (45975189).

82321323 is a wasteful number, since it uses less digits than its factorization.

82321323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2704 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 82321323 is about 9073.1098858109. The cubic root of 82321323 is about 435.0148812454.

The spelling of 82321323 in words is "eighty-two million, three hundred twenty-one thousand, three hundred twenty-three".