82713601 has 2 divisors, whose sum is σ = 82713602. Its totient is φ = 82713600.

The previous prime is 82713571. The next prime is 82713629. The reversal of 82713601 is 10631728.

It is an a-pointer prime, because the next prime (82713629) can be obtained adding 82713601 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58507201 + 24206400 = 7649^2 + 4920^2 .

It is a cyclic number.

It is not a de Polignac number, because 82713601 - 2⁵ = 82713569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82713601.

It is not a weakly prime, because it can be changed into another prime (82713661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41356800 + 41356801.

It is an arithmetic number, because the mean of its divisors is an integer number (41356801).

Almost surely, 2^82713601 is an apocalyptic number.

It is an amenable number.

82713601 is a deficient number, since it is larger than the sum of its proper divisors (1).

82713601 is an equidigital number, since it uses as much as digits as its factorization.

82713601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 82713601 is about 9094.7018092953. The cubic root of 82713601 is about 435.7047649882.

The spelling of 82713601 in words is "eighty-two million, seven hundred thirteen thousand, six hundred one".