82640137 has 2 divisors, whose sum is σ = 82640138. Its totient is φ = 82640136.

The previous prime is 82640099. The next prime is 82640167. The reversal of 82640137 is 73104628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76370121 + 6270016 = 8739^2 + 2504^2 .

It is a cyclic number.

It is not a de Polignac number, because 82640137 - 2¹¹ = 82638089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82640099 and 82640108.

It is not a weakly prime, because it can be changed into another prime (82640167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41320068 + 41320069.

It is an arithmetic number, because the mean of its divisors is an integer number (41320069).

Almost surely, 2^82640137 is an apocalyptic number.

It is an amenable number.

82640137 is a deficient number, since it is larger than the sum of its proper divisors (1).

82640137 is an equidigital number, since it uses as much as digits as its factorization.

82640137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 82640137 is about 9090.6620770987. The cubic root of 82640137 is about 435.5757330211.

The spelling of 82640137 in words is "eighty-two million, six hundred forty thousand, one hundred thirty-seven".