42705117 has 72 divisors (see below), whose sum is σ = 80110080. Its totient is φ = 22407840.

The previous prime is 42705107. The next prime is 42705119. The reversal of 42705117 is 71150724.

42705117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42705117 - 2⁴ = 42705101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42705119) 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 in 71 ways as a sum of consecutive naturals, for example, 223492 + ... + 223682.

It is an arithmetic number, because the mean of its divisors is an integer number (1112640).

Almost surely, 2^42705117 is an apocalyptic number.

It is an amenable number.

42705117 is a deficient number, since it is larger than the sum of its proper divisors (37404963).

42705117 is a wasteful number, since it uses less digits than its factorization.

42705117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 42705117 is about 6534.9152251579. The cubic root of 42705117 is about 349.5371214416.

The spelling of 42705117 in words is "forty-two million, seven hundred five thousand, one hundred seventeen".