42584167 has 8 divisors (see below), whose sum is σ = 45725472. Its totient is φ = 39513600.

The previous prime is 42584141. The next prime is 42584177. The reversal of 42584167 is 76148524.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42584167 - 2¹¹ = 42582119 is a prime.

It is a super-2 number, since 2×42584167² = 3626822558167778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42584137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16434 + ... + 18847.

It is an arithmetic number, because the mean of its divisors is an integer number (5715684).

Almost surely, 2^42584167 is an apocalyptic number.

42584167 is a deficient number, since it is larger than the sum of its proper divisors (3141305).

42584167 is a wasteful number, since it uses less digits than its factorization.

42584167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35369.

The product of its digits is 53760, while the sum is 37.

The square root of 42584167 is about 6525.6545265590. The cubic root of 42584167 is about 349.2068215247.

The spelling of 42584167 in words is "forty-two million, five hundred eighty-four thousand, one hundred sixty-seven".