58500 has 72 divisors (see below), whose sum is σ = 198744. Its totient is φ = 14400.

The previous prime is 58481. The next prime is 58511. The reversal of 58500 is 585.

58500 = T₁₉ + T₂₀ + ... + T₇₀.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 49284 = 96^2 + 222^2 .

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

It is an Ulam number.

It is a nialpdrome in base 5 and base 9.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4494 + ... + 4506.

2⁵⁸⁵⁰⁰ is an apocalyptic number.

58500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99372).

58500 is an abundant number, since it is smaller than the sum of its proper divisors (140244).

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

58500 is a wasteful number, since it uses less digits than its factorization.

58500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 58500 is about 241.8677324490. The cubic root of 58500 is about 38.8196803833.

Multiplying 58500 by its reverse (585), we get a square (34222500 = 5850²).

58500 divided by its reverse (585) gives a square (100 = 10²).

The spelling of 58500 in words is "fifty-eight thousand, five hundred".