42083585 has 16 divisors (see below), whose sum is σ = 55199232. Its totient is φ = 30662400.

The previous prime is 42083567. The next prime is 42083593. The reversal of 42083585 is 58538024.

42083585 = 1096² + 1097² + ... + 1129².

It is not a de Polignac number, because 42083585 - 2⁶ = 42083521 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5351 + ... + 10620.

It is an arithmetic number, because the mean of its divisors is an integer number (3449952).

Almost surely, 2^42083585 is an apocalyptic number.

It is an amenable number.

42083585 is a deficient number, since it is larger than the sum of its proper divisors (13115647).

42083585 is a wasteful number, since it uses less digits than its factorization.

42083585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16024.

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 42083585 is about 6487.1862159183. The cubic root of 42083585 is about 347.8331019181.

The spelling of 42083585 in words is "forty-two million, eighty-three thousand, five hundred eighty-five".