58014 has 24 divisors (see below), whose sum is σ = 137592. Its totient is φ = 17520.

The previous prime is 58013. The next prime is 58027. The reversal of 58014 is 41085.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (5733).

2⁵⁸⁰¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796).

58014 is an abundant number, since it is smaller than the sum of its proper divisors (79578).

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

58014 is a wasteful number, since it uses less digits than its factorization.

58014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 58014 is about 240.8609557400. The cubic root of 58014 is about 38.7118806542.

58014 divided by its sum of digits (18) gives a palindrome (3223).

Adding to 58014 its reverse (41085), we get a palindrome (99099).

The spelling of 58014 in words is "fifty-eight thousand, fourteen".