82393 has 2 divisors, whose sum is σ = 82394. Its totient is φ = 82392.

The previous prime is 82387. The next prime is 82421. The reversal of 82393 is 39328.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 2304 = 283^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 82393 - 2⁵ = 82361 is a prime.

82393 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (82373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41196 + 41197.

It is an arithmetic number, because the mean of its divisors is an integer number (41197).

2⁸²³⁹³ is an apocalyptic number.

It is an amenable number.

82393 is a deficient number, since it is larger than the sum of its proper divisors (1).

82393 is an equidigital number, since it uses as much as digits as its factorization.

82393 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 25.

The square root of 82393 is about 287.0418088014. The cubic root of 82393 is about 43.5141100129.

It can be divided in two parts, 8 and 2393, that added together give a 4-th power (2401 = 7⁴).

The spelling of 82393 in words is "eighty-two thousand, three hundred ninety-three".