82065601 has 2 divisors, whose sum is σ = 82065602. Its totient is φ = 82065600.

The previous prime is 82065539. The next prime is 82065611. The reversal of 82065601 is 10656028.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50694400 + 31371201 = 7120^2 + 5601^2 .

It is a cyclic number.

It is not a de Polignac number, because 82065601 - 2⁹ = 82065089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82065601.

It is not a weakly prime, because it can be changed into another prime (82065611) 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, 41032800 + 41032801.

It is an arithmetic number, because the mean of its divisors is an integer number (41032801).

Almost surely, 2^82065601 is an apocalyptic number.

It is an amenable number.

82065601 is a deficient number, since it is larger than the sum of its proper divisors (1).

82065601 is an equidigital number, since it uses as much as digits as its factorization.

82065601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 82065601 is about 9059.0066232452. The cubic root of 82065601 is about 434.5639723012.

The spelling of 82065601 in words is "eighty-two million, sixty-five thousand, six hundred one".