42667617 has 16 divisors (see below), whose sum is σ = 57784320. Its totient is φ = 28002000.

The previous prime is 42667607. The next prime is 42667619. The reversal of 42667617 is 71676624.

It is not a de Polignac number, because 42667617 - 2⁷ = 42667489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42667619) by changing a digit.

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, 58984 + ... + 59702.

It is an arithmetic number, because the mean of its divisors is an integer number (3611520).

Almost surely, 2^42667617 is an apocalyptic number.

It is an amenable number.

42667617 is a deficient number, since it is larger than the sum of its proper divisors (15116703).

42667617 is a wasteful number, since it uses less digits than its factorization.

42667617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004.

The product of its digits is 84672, while the sum is 39.

The square root of 42667617 is about 6532.0453917590. The cubic root of 42667617 is about 349.4347802272.

The spelling of 42667617 in words is "forty-two million, six hundred sixty-seven thousand, six hundred seventeen".