42035985 has 24 divisors (see below), whose sum is σ = 77149800. Its totient is φ = 21100032.

The previous prime is 42035977. The next prime is 42035989. The reversal of 42035985 is 58953024.

It can be written as a sum of positive squares in 4 ways, for example, as 5602689 + 36433296 = 2367^2 + 6036^2 .

It is not a de Polignac number, because 42035985 - 2³ = 42035977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42035989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26710 + ... + 28239.

It is an arithmetic number, because the mean of its divisors is an integer number (3214575).

Almost surely, 2^42035985 is an apocalyptic number.

42035985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42035985 is a deficient number, since it is larger than the sum of its proper divisors (35113815).

42035985 is a wasteful number, since it uses less digits than its factorization.

42035985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54977 (or 54974 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 42035985 is about 6483.5164070125. The cubic root of 42035985 is about 347.7019098158.

The spelling of 42035985 in words is "forty-two million, thirty-five thousand, nine hundred eighty-five".