42642617 has 2 divisors, whose sum is σ = 42642618. Its totient is φ = 42642616.

The previous prime is 42642571. The next prime is 42642623. The reversal of 42642617 is 71624624.

42642617 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., 21335161 + 21307456 = 4619^2 + 4616^2 .

It is a cyclic number.

It is not a de Polignac number, because 42642617 - 2⁸ = 42642361 is a prime.

It is not a weakly prime, because it can be changed into another prime (42642637) 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, 21321308 + 21321309.

It is an arithmetic number, because the mean of its divisors is an integer number (21321309).

Almost surely, 2^42642617 is an apocalyptic number.

It is an amenable number.

42642617 is a deficient number, since it is larger than the sum of its proper divisors (1).

42642617 is an equidigital number, since it uses as much as digits as its factorization.

42642617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 32.

The square root of 42642617 is about 6530.1314688144. The cubic root of 42642617 is about 349.3665194332.

The spelling of 42642617 in words is "forty-two million, six hundred forty-two thousand, six hundred seventeen".