42584165 has 16 divisors (see below), whose sum is σ = 55375488. Its totient is φ = 31250496.

The previous prime is 42584141. The next prime is 42584177. The reversal of 42584165 is 56148524.

It is a cyclic number.

It is not a de Polignac number, because 42584165 - 2¹⁰ = 42583141 is a prime.

It is a super-2 number, since 2×42584165² = 3626822217494450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8894 + ... + 12816.

It is an arithmetic number, because the mean of its divisors is an integer number (3460968).

Almost surely, 2^42584165 is an apocalyptic number.

It is an amenable number.

42584165 is a deficient number, since it is larger than the sum of its proper divisors (12791323).

42584165 is a wasteful number, since it uses less digits than its factorization.

42584165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108.

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

The square root of 42584165 is about 6525.6543733177. The cubic root of 42584165 is about 349.2068160577.

The spelling of 42584165 in words is "forty-two million, five hundred eighty-four thousand, one hundred sixty-five".