42381585 has 12 divisors (see below), whose sum is σ = 73461492. Its totient is φ = 22603488.

The previous prime is 42381569. The next prime is 42381589. The reversal of 42381585 is 58518324.

It is a happy number.

42381585 is a `hidden beast` number, since 42 + 38 + 1 + 585 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30869136 + 11512449 = 5556^2 + 3393^2 .

It is not a de Polignac number, because 42381585 - 2⁴ = 42381569 is a prime.

It is a super-2 number, since 2×42381585² = 3592397494224450, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (42381589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470862 + ... + 470951.

It is an arithmetic number, because the mean of its divisors is an integer number (6121791).

Almost surely, 2^42381585 is an apocalyptic number.

42381585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42381585 is a deficient number, since it is larger than the sum of its proper divisors (31079907).

42381585 is a wasteful number, since it uses less digits than its factorization.

42381585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941824 (or 941821 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 42381585 is about 6510.1140543004. The cubic root of 42381585 is about 348.6521905540.

The spelling of 42381585 in words is "forty-two million, three hundred eighty-one thousand, five hundred eighty-five".