58050 has 48 divisors (see below), whose sum is σ = 163680. Its totient is φ = 15120.

The previous prime is 58049. The next prime is 58057. The reversal of 58050 is 5085.

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

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (58057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1329 + ... + 1371.

It is an arithmetic number, because the mean of its divisors is an integer number (3410).

2⁵⁸⁰⁵⁰ is an apocalyptic number.

58050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 58050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81840).

58050 is an abundant number, since it is smaller than the sum of its proper divisors (105630).

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

58050 is a wasteful number, since it uses less digits than its factorization.

58050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 53 counting only the distinct ones).

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

The square root of 58050 is about 240.9356760631. The cubic root of 58050 is about 38.7198864202.

It can be divided in two parts, 580 and 50, that added together give a triangular number (630 = T₃₅).

The spelling of 58050 in words is "fifty-eight thousand, fifty".