58314 has 8 divisors (see below), whose sum is σ = 116640. Its totient is φ = 19436.

The previous prime is 58313. The next prime is 58321. The reversal of 58314 is 41385.

58314 is nontrivially palindromic in base 11.

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

58314 is an admirable number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58314.

It is not an unprimeable number, because it can be changed into a prime (58313) 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, 4854 + ... + 4865.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2⁵⁸³¹⁴ is an apocalyptic number.

58314 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58320).

58314 is a wasteful number, since it uses less digits than its factorization.

58314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724.

The product of its digits is 480, while the sum is 21.

The square root of 58314 is about 241.4829186506. The cubic root of 58314 is about 38.7784944770.

Adding to 58314 its reverse (41385), we get a palindrome (99699).

The spelling of 58314 in words is "fifty-eight thousand, three hundred fourteen".