42065305 has 16 divisors (see below), whose sum is σ = 51773904. Its totient is φ = 32797440.

The previous prime is 42065269. The next prime is 42065333. The reversal of 42065305 is 50356024.

42065305 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 8 ways, for example, as 488601 + 41576704 = 699^2 + 6448^2 .

It is a de Polignac number, because none of the positive numbers 2^k-42065305 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42065305.

It is an unprimeable number.

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 in 15 ways as a sum of consecutive naturals, for example, 47527 + ... + 48403.

It is an arithmetic number, because the mean of its divisors is an integer number (3235869).

Almost surely, 2^42065305 is an apocalyptic number.

It is an amenable number.

42065305 is a deficient number, since it is larger than the sum of its proper divisors (9708599).

42065305 is a wasteful number, since it uses less digits than its factorization.

42065305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 42065305 is about 6485.7771315394. Note that the first 3 decimals coincide. The cubic root of 42065305 is about 347.7827314473.

The spelling of 42065305 in words is "forty-two million, sixty-five thousand, three hundred five".