42105317 has 2 divisors, whose sum is σ = 42105318. Its totient is φ = 42105316.

The previous prime is 42105313. The next prime is 42105331. The reversal of 42105317 is 71350124.

42105317 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33189121 + 8916196 = 5761^2 + 2986^2 .

It is a cyclic number.

It is not a de Polignac number, because 42105317 - 2² = 42105313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42105292 and 42105301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42105313) 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, 21052658 + 21052659.

It is an arithmetic number, because the mean of its divisors is an integer number (21052659).

Almost surely, 2^42105317 is an apocalyptic number.

It is an amenable number.

42105317 is a deficient number, since it is larger than the sum of its proper divisors (1).

42105317 is an equidigital number, since it uses as much as digits as its factorization.

42105317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 42105317 is about 6488.8609940420. The cubic root of 42105317 is about 347.8929653871.

The spelling of 42105317 in words is "forty-two million, one hundred five thousand, three hundred seventeen".