58716 has 36 divisors (see below), whose sum is σ = 170352. Its totient is φ = 16704.

The previous prime is 58711. The next prime is 58727. The reversal of 58716 is 61785.

It is a tau number, because it is divible by the number of its divisors (36).

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 58716.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58711) by changing a digit.

58716 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136 + ... + 368.

It is an arithmetic number, because the mean of its divisors is an integer number (4732).

2⁵⁸⁷¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85176).

58716 is an abundant number, since it is smaller than the sum of its proper divisors (111636).

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

58716 is a wasteful number, since it uses less digits than its factorization.

58716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 58716 is about 242.3138460757. The cubic root of 58716 is about 38.8673997680.

The spelling of 58716 in words is "fifty-eight thousand, seven hundred sixteen".