82736617 has 2 divisors, whose sum is σ = 82736618. Its totient is φ = 82736616.

The previous prime is 82736597. The next prime is 82736627. The reversal of 82736617 is 71663728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65464281 + 17272336 = 8091^2 + 4156^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82736617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82736617.

It is not a weakly prime, because it can be changed into another prime (82736627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41368308 + 41368309.

It is an arithmetic number, because the mean of its divisors is an integer number (41368309).

Almost surely, 2^82736617 is an apocalyptic number.

It is an amenable number.

82736617 is a deficient number, since it is larger than the sum of its proper divisors (1).

82736617 is an equidigital number, since it uses as much as digits as its factorization.

82736617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 84672, while the sum is 40.

The square root of 82736617 is about 9095.9670733793. The cubic root of 82736617 is about 435.7451745087.

The spelling of 82736617 in words is "eighty-two million, seven hundred thirty-six thousand, six hundred seventeen".