42057017 has 2 divisors, whose sum is σ = 42057018. Its totient is φ = 42057016.

The previous prime is 42057011. The next prime is 42057019. The reversal of 42057017 is 71075024.

42057017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33825856 + 8231161 = 5816^2 + 2869^2 .

It is a cyclic number.

It is not a de Polignac number, because 42057017 - 2¹⁸ = 41794873 is a prime.

Together with 42057019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (42057011) 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, 21028508 + 21028509.

It is an arithmetic number, because the mean of its divisors is an integer number (21028509).

Almost surely, 2^42057017 is an apocalyptic number.

It is an amenable number.

42057017 is a deficient number, since it is larger than the sum of its proper divisors (1).

42057017 is an equidigital number, since it uses as much as digits as its factorization.

42057017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1960, while the sum is 26.

The square root of 42057017 is about 6485.1381635244. The cubic root of 42057017 is about 347.7598890867.

The spelling of 42057017 in words is "forty-two million, fifty-seven thousand, seventeen".