58609 has 8 divisors (see below), whose sum is σ = 63360. Its totient is φ = 54096.

The previous prime is 58603. The next prime is 58613. The reversal of 58609 is 90685.

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 58609 - 2³ = 58601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58601) 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, 1224 + ... + 1270.

It is an arithmetic number, because the mean of its divisors is an integer number (7920).

2⁵⁸⁶⁰⁹ is an apocalyptic number.

It is an amenable number.

58609 is a deficient number, since it is larger than the sum of its proper divisors (4751).

58609 is a wasteful number, since it uses less digits than its factorization.

58609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119.

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 58609 is about 242.0929573532. The cubic root of 58609 is about 38.8437756532.

The spelling of 58609 in words is "fifty-eight thousand, six hundred nine".