82398137 has 2 divisors, whose sum is σ = 82398138. Its totient is φ = 82398136.

The previous prime is 82398103. The next prime is 82398157. The reversal of 82398137 is 73189328.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42758521 + 39639616 = 6539^2 + 6296^2 .

It is a cyclic number.

It is not a de Polignac number, because 82398137 - 2¹² = 82394041 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 82398094 and 82398103.

It is not a weakly prime, because it can be changed into another prime (82398157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41199068 + 41199069.

It is an arithmetic number, because the mean of its divisors is an integer number (41199069).

Almost surely, 2^82398137 is an apocalyptic number.

It is an amenable number.

82398137 is a deficient number, since it is larger than the sum of its proper divisors (1).

82398137 is an equidigital number, since it uses as much as digits as its factorization.

82398137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 41.

The square root of 82398137 is about 9077.3419567625. The cubic root of 82398137 is about 435.1501432651.

The spelling of 82398137 in words is "eighty-two million, three hundred ninety-eight thousand, one hundred thirty-seven".