58289 has 8 divisors (see below), whose sum is σ = 72768. Its totient is φ = 45360.

The previous prime is 58271. The next prime is 58309. The reversal of 58289 is 98285.

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

It is not a de Polignac number, because 58289 - 2¹² = 54193 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (58229) 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, 302 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (9096).

2⁵⁸²⁸⁹ is an apocalyptic number.

It is an amenable number.

58289 is a deficient number, since it is larger than the sum of its proper divisors (14479).

58289 is a wasteful number, since it uses less digits than its factorization.

58289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775.

The product of its digits is 5760, while the sum is 32.

The square root of 58289 is about 241.4311496058. The cubic root of 58289 is about 38.7729520633.

The spelling of 58289 in words is "fifty-eight thousand, two hundred eighty-nine".