42617 has 4 divisors (see below), whose sum is σ = 44880. Its totient is φ = 40356.

The previous prime is 42611. The next prime is 42641. The reversal of 42617 is 71624.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 42617 - 2¹⁰ = 41593 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1103 + ... + 1140.

It is an arithmetic number, because the mean of its divisors is an integer number (11220).

2⁴²⁶¹⁷ is an apocalyptic number.

It is an amenable number.

42617 is a deficient number, since it is larger than the sum of its proper divisors (2263).

42617 is a wasteful number, since it uses less digits than its factorization.

42617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262.

The product of its digits is 336, while the sum is 20.

The square root of 42617 is about 206.4388529323. The cubic root of 42617 is about 34.9296546282.

The spelling of 42617 in words is "forty-two thousand, six hundred seventeen".