82736077 has 2 divisors, whose sum is σ = 82736078. Its totient is φ = 82736076.

The previous prime is 82736047. The next prime is 82736099. The reversal of 82736077 is 77063728.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75151561 + 7584516 = 8669^2 + 2754^2 .

It is a cyclic number.

It is not a de Polignac number, because 82736077 - 2⁷ = 82735949 is a prime.

It is equal to p_4819792 and since 82736077 and 4819792 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82736047) 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, 41368038 + 41368039.

It is an arithmetic number, because the mean of its divisors is an integer number (41368039).

Almost surely, 2^82736077 is an apocalyptic number.

It is an amenable number.

82736077 is a deficient number, since it is larger than the sum of its proper divisors (1).

82736077 is an equidigital number, since it uses as much as digits as its factorization.

82736077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 82736077 is about 9095.9373898461. The cubic root of 82736077 is about 435.7442265088.

The spelling of 82736077 in words is "eighty-two million, seven hundred thirty-six thousand, seventy-seven".