82193 has 2 divisors, whose sum is σ = 82194. Its totient is φ = 82192.

The previous prime is 82189. The next prime is 82207. The reversal of 82193 is 39128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 37249 = 212^2 + 193^2 .

It is a cyclic number.

It is not a de Polignac number, because 82193 - 2² = 82189 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (82153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41096 + 41097.

It is an arithmetic number, because the mean of its divisors is an integer number (41097).

2⁸²¹⁹³ is an apocalyptic number.

It is an amenable number.

82193 is a deficient number, since it is larger than the sum of its proper divisors (1).

82193 is an equidigital number, since it uses as much as digits as its factorization.

82193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 432, while the sum is 23.

The square root of 82193 is about 286.6932158249. The cubic root of 82193 is about 43.4788729044.

The spelling of 82193 in words is "eighty-two thousand, one hundred ninety-three".