82736064401 has 2 divisors, whose sum is σ = 82736064402. Its totient is φ = 82736064400.

The previous prime is 82736064377. The next prime is 82736064419. The reversal of 82736064401 is 10446063728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69168474001 + 13567590400 = 262999^2 + 116480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-82736064401 is a prime.

It is a super-3 number, since 3×82736064401³ (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (82736064451) 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, 41368032200 + 41368032201.

It is an arithmetic number, because the mean of its divisors is an integer number (41368032201).

Almost surely, 2^82736064401 is an apocalyptic number.

It is an amenable number.

82736064401 is a deficient number, since it is larger than the sum of its proper divisors (1).

82736064401 is an equidigital number, since it uses as much as digits as its factorization.

82736064401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 82736064401 in words is "eighty-two billion, seven hundred thirty-six million, sixty-four thousand, four hundred one".