4138065 has 12 divisors (see below), whose sum is σ = 7172724. Its totient is φ = 2206944.

The previous prime is 4138051. The next prime is 4138073. The reversal of 4138065 is 5608314.

4138065 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 2331729 = 1344^2 + 1527^2 .

It is not a de Polignac number, because 4138065 - 2⁵ = 4138033 is a prime.

It is a Curzon number.

4138065 is a lucky number.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 45934 + ... + 46023.

It is an arithmetic number, because the mean of its divisors is an integer number (597727).

Almost surely, 2^4138065 is an apocalyptic number.

4138065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4138065 is a deficient number, since it is larger than the sum of its proper divisors (3034659).

4138065 is a wasteful number, since it uses less digits than its factorization.

4138065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91968 (or 91965 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4138065 is about 2034.2234390548. The cubic root of 4138065 is about 160.5458569873.

The spelling of 4138065 in words is "four million, one hundred thirty-eight thousand, sixty-five".