82997 has 2 divisors, whose sum is σ = 82998. Its totient is φ = 82996.

The previous prime is 82981. The next prime is 83003. The reversal of 82997 is 79928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75076 + 7921 = 274^2 + 89^2 .

It is a cyclic number.

It is not a de Polignac number, because 82997 - 2⁴ = 82981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (88997) 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, 41498 + 41499.

It is an arithmetic number, because the mean of its divisors is an integer number (41499).

2⁸²⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

82997 is a deficient number, since it is larger than the sum of its proper divisors (1).

82997 is an equidigital number, since it uses as much as digits as its factorization.

82997 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9072, while the sum is 35.

The square root of 82997 is about 288.0919991947. The cubic root of 82997 is about 43.6201811575.

The spelling of 82997 in words is "eighty-two thousand, nine hundred ninety-seven".