58730 has 16 divisors (see below), whose sum is σ = 120960. Its totient is φ = 20112.

The previous prime is 58727. The next prime is 58733. The reversal of 58730 is 3785.

It is an interprime number because it is at equal distance from previous prime (58727) and next prime (58733).

It is a junction number, because it is equal to n+sod(n) for n = 58696 and 58705.

It is not an unprimeable number, because it can be changed into a prime (58733) 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, 350 + ... + 489.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁵⁸⁷³⁰ is an apocalyptic number.

58730 is an abundant number, since it is smaller than the sum of its proper divisors (62230).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

58730 is a wasteful number, since it uses less digits than its factorization.

58730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 58730 is about 242.3427325091. The cubic root of 58730 is about 38.8704886498.

Subtracting from 58730 its reverse (3785), we obtain a palindrome (54945).

The spelling of 58730 in words is "fifty-eight thousand, seven hundred thirty".