82793 has 2 divisors, whose sum is σ = 82794. Its totient is φ = 82792.

The previous prime is 82787. The next prime is 82799. The reversal of 82793 is 39728.

It is a balanced prime because it is at equal distance from previous prime (82787) and next prime (82799).

It can be written as a sum of positive squares in only one way, i.e., 80089 + 2704 = 283^2 + 52^2 .

It is a cyclic number.

It is not a de Polignac number, because 82793 - 2⁶ = 82729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 14.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41396 + 41397.

It is an arithmetic number, because the mean of its divisors is an integer number (41397).

2⁸²⁷⁹³ is an apocalyptic number.

It is an amenable number.

82793 is a deficient number, since it is larger than the sum of its proper divisors (1).

82793 is an equidigital number, since it uses as much as digits as its factorization.

82793 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3024, while the sum is 29.

The square root of 82793 is about 287.7377278009. The cubic root of 82793 is about 43.5844135292.

The spelling of 82793 in words is "eighty-two thousand, seven hundred ninety-three".