82723 has 2 divisors, whose sum is σ = 82724. Its totient is φ = 82722.

The previous prime is 82721. The next prime is 82727. The reversal of 82723 is 32728.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 82723 - 2¹ = 82721 is a prime.

Together with 82721, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 82694 and 82703.

It is not a weakly prime, because it can be changed into another prime (82721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41361 + 41362.

It is an arithmetic number, because the mean of its divisors is an integer number (41362).

2⁸²⁷²³ is an apocalyptic number.

82723 is a deficient number, since it is larger than the sum of its proper divisors (1).

82723 is an equidigital number, since it uses as much as digits as its factorization.

82723 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 672, while the sum is 22.

The square root of 82723 is about 287.6160635291. The cubic root of 82723 is about 43.5721267852.

The spelling of 82723 in words is "eighty-two thousand, seven hundred twenty-three".