82065413 has 2 divisors, whose sum is σ = 82065414. Its totient is φ = 82065412.

The previous prime is 82065407. The next prime is 82065433. The reversal of 82065413 is 31456028.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 44328964 + 37736449 = 6658^2 + 6143^2 .

It is a cyclic number.

It is not a de Polignac number, because 82065413 - 2⁶ = 82065349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (82065433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41032706 + 41032707.

It is an arithmetic number, because the mean of its divisors is an integer number (41032707).

Almost surely, 2^82065413 is an apocalyptic number.

It is an amenable number.

82065413 is a deficient number, since it is larger than the sum of its proper divisors (1).

82065413 is an equidigital number, since it uses as much as digits as its factorization.

82065413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 82065413 is about 9058.9962468256. The cubic root of 82065413 is about 434.5636404606.

The spelling of 82065413 in words is "eighty-two million, sixty-five thousand, four hundred thirteen".