42583617 has 16 divisors (see below), whose sum is σ = 66408000. Its totient is φ = 26894592.

The previous prime is 42583613. The next prime is 42583627. The reversal of 42583617 is 71638524.

It is not a de Polignac number, because 42583617 - 2² = 42583613 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42583613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40992 + ... + 42017.

It is an arithmetic number, because the mean of its divisors is an integer number (4150500).

Almost surely, 2^42583617 is an apocalyptic number.

It is an amenable number.

42583617 is a deficient number, since it is larger than the sum of its proper divisors (23824383).

42583617 is a wasteful number, since it uses less digits than its factorization.

42583617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83037 (or 83031 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42583617 is about 6525.6123850563. The cubic root of 42583617 is about 349.2053181132.

It can be divided in two parts, 4258 and 3617, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 42583617 in words is "forty-two million, five hundred eighty-three thousand, six hundred seventeen".