42165113 has 2 divisors, whose sum is σ = 42165114. Its totient is φ = 42165112.

The previous prime is 42165077. The next prime is 42165131. The reversal of 42165113 is 31156124.

42165113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (42165131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41512249 + 652864 = 6443^2 + 808^2 .

It is a cyclic number.

It is not a de Polignac number, because 42165113 - 2¹⁸ = 41902969 is a prime.

It is not a weakly prime, because it can be changed into another prime (42135113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21082556 + 21082557.

It is an arithmetic number, because the mean of its divisors is an integer number (21082557).

Almost surely, 2^42165113 is an apocalyptic number.

It is an amenable number.

42165113 is a deficient number, since it is larger than the sum of its proper divisors (1).

42165113 is an equidigital number, since it uses as much as digits as its factorization.

42165113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 23.

The square root of 42165113 is about 6493.4669476328. The cubic root of 42165113 is about 348.0575745891.

The spelling of 42165113 in words is "forty-two million, one hundred sixty-five thousand, one hundred thirteen".