42085757 has 16 divisors (see below), whose sum is σ = 50784000. Its totient is φ = 34821360.

The previous prime is 42085753. The next prime is 42085759. The reversal of 42085757 is 75758024.

42085757 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 42085757 - 2² = 42085753 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42085757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42085753) 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 15 ways as a sum of consecutive naturals, for example, 7832 + ... + 12062.

It is an arithmetic number, because the mean of its divisors is an integer number (3174000).

Almost surely, 2^42085757 is an apocalyptic number.

It is an amenable number.

42085757 is a deficient number, since it is larger than the sum of its proper divisors (8698243).

42085757 is an equidigital number, since it uses as much as digits as its factorization.

42085757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 38.

The square root of 42085757 is about 6487.3536206993. The cubic root of 42085757 is about 347.8390858863.

The spelling of 42085757 in words is "forty-two million, eighty-five thousand, seven hundred fifty-seven".