42609 has 8 divisors (see below), whose sum is σ = 64960. Its totient is φ = 24336.

The previous prime is 42589. The next prime is 42611. The reversal of 42609 is 90624.

42609 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 42609 - 2⁵ = 42577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 2029 = 42609 / (4 + 2 + 6 + 0 + 9).

42609 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 42609.

It is not an unprimeable number, because it can be changed into a prime (42649) 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, 994 + ... + 1035.

It is an arithmetic number, because the mean of its divisors is an integer number (8120).

2⁴²⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

42609 is a deficient number, since it is larger than the sum of its proper divisors (22351).

42609 is a wasteful number, since it uses less digits than its factorization.

42609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2039.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42609 is about 206.4194758253. The cubic root of 42609 is about 34.9274688438.

The spelling of 42609 in words is "forty-two thousand, six hundred nine".