42053985 has 20 divisors (see below), whose sum is σ = 75386388. Its totient is φ = 22428576.

The previous prime is 42053983. The next prime is 42054017. The reversal of 42053985 is 58935024.

42053985 is a `hidden beast` number, since 42 + 0 + 539 + 85 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21150801 + 20903184 = 4599^2 + 4572^2 .

It is not a de Polignac number, because 42053985 - 2¹ = 42053983 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42053983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51514 + ... + 52323.

Almost surely, 2^42053985 is an apocalyptic number.

42053985 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42053985 is a deficient number, since it is larger than the sum of its proper divisors (33332403).

42053985 is a wasteful number, since it uses less digits than its factorization.

42053985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103854 (or 103845 counting only the distinct ones).

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

The square root of 42053985 is about 6484.9043940524. The cubic root of 42053985 is about 347.7515319135.

The spelling of 42053985 in words is "forty-two million, fifty-three thousand, nine hundred eighty-five".