82137137 has 2 divisors, whose sum is σ = 82137138. Its totient is φ = 82137136.

The previous prime is 82137127. The next prime is 82137157. The reversal of 82137137 is 73173128.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44302336 + 37834801 = 6656^2 + 6151^2 .

It is a cyclic number.

It is not a de Polignac number, because 82137137 - 2⁸ = 82136881 is a prime.

It is not a weakly prime, because it can be changed into another prime (82137127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41068568 + 41068569.

It is an arithmetic number, because the mean of its divisors is an integer number (41068569).

Almost surely, 2^82137137 is an apocalyptic number.

It is an amenable number.

82137137 is a deficient number, since it is larger than the sum of its proper divisors (1).

82137137 is an equidigital number, since it uses as much as digits as its factorization.

82137137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7056, while the sum is 32.

The square root of 82137137 is about 9062.9540989680. The cubic root of 82137137 is about 434.6902044032.

The spelling of 82137137 in words is "eighty-two million, one hundred thirty-seven thousand, one hundred thirty-seven".