165648013 has 2 divisors, whose sum is σ = 165648014. Its totient is φ = 165648012.

The previous prime is 165648011. The next prime is 165648071. The reversal of 165648013 is 310846561.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 114639849 + 51008164 = 10707^2 + 7142^2 .

It is a cyclic number.

It is not a de Polignac number, because 165648013 - 2¹ = 165648011 is a prime.

Together with 165648011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 165648013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165648011) 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, 82824006 + 82824007.

It is an arithmetic number, because the mean of its divisors is an integer number (82824007).

Almost surely, 2^165648013 is an apocalyptic number.

It is an amenable number.

165648013 is a deficient number, since it is larger than the sum of its proper divisors (1).

165648013 is an equidigital number, since it uses as much as digits as its factorization.

165648013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 165648013 is about 12870.4317332403. The cubic root of 165648013 is about 549.1977427535.

The spelling of 165648013 in words is "one hundred sixty-five million, six hundred forty-eight thousand, thirteen".