82002637 has 2 divisors, whose sum is σ = 82002638. Its totient is φ = 82002636.

The previous prime is 82002623. The next prime is 82002649. The reversal of 82002637 is 73620028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42237001 + 39765636 = 6499^2 + 6306^2 .

It is a cyclic number.

It is not a de Polignac number, because 82002637 - 2¹⁹ = 81478349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82002737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41001318 + 41001319.

It is an arithmetic number, because the mean of its divisors is an integer number (41001319).

Almost surely, 2^82002637 is an apocalyptic number.

It is an amenable number.

82002637 is a deficient number, since it is larger than the sum of its proper divisors (1).

82002637 is an equidigital number, since it uses as much as digits as its factorization.

82002637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 82002637 is about 9055.5307409340. The cubic root of 82002637 is about 434.4528055992.

The spelling of 82002637 in words is "eighty-two million, two thousand, six hundred thirty-seven".