82005305749 has 2 divisors, whose sum is σ = 82005305750. Its totient is φ = 82005305748.

The previous prime is 82005305747. The next prime is 82005305761. The reversal of 82005305749 is 94750350028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64405303524 + 17600002225 = 253782^2 + 132665^2 .

It is a cyclic number.

It is not a de Polignac number, because 82005305749 - 2¹ = 82005305747 is a prime.

Together with 82005305747, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82005305741) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41002652874 + 41002652875.

It is an arithmetic number, because the mean of its divisors is an integer number (41002652875).

Almost surely, 2^82005305749 is an apocalyptic number.

It is an amenable number.

82005305749 is a deficient number, since it is larger than the sum of its proper divisors (1).

82005305749 is an equidigital number, since it uses as much as digits as its factorization.

82005305749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 82005305749 in words is "eighty-two billion, five million, three hundred five thousand, seven hundred forty-nine".