42057073 has 2 divisors, whose sum is σ = 42057074. Its totient is φ = 42057072.

The previous prime is 42057019. The next prime is 42057077. The reversal of 42057073 is 37075024.

42057073 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., 28858384 + 13198689 = 5372^2 + 3633^2 .

It is a cyclic number.

It is not a de Polignac number, because 42057073 - 2⁹ = 42056561 is a prime.

It is not a weakly prime, because it can be changed into another prime (42057077) 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, 21028536 + 21028537.

It is an arithmetic number, because the mean of its divisors is an integer number (21028537).

Almost surely, 2^42057073 is an apocalyptic number.

It is an amenable number.

42057073 is a deficient number, since it is larger than the sum of its proper divisors (1).

42057073 is an equidigital number, since it uses as much as digits as its factorization.

42057073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 42057073 is about 6485.1424810871. The cubic root of 42057073 is about 347.7600434370.

The spelling of 42057073 in words is "forty-two million, fifty-seven thousand, seventy-three".