58000 has 40 divisors (see below), whose sum is σ = 145080. Its totient is φ = 22400.

The previous prime is 57991. The next prime is 58013. The reversal of 58000 is 85.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 55696 = 48^2 + 236^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

58000 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 7 ways as a sum of consecutive naturals, for example, 1986 + ... + 2014.

It is an arithmetic number, because the mean of its divisors is an integer number (3627).

2⁵⁸⁰⁰⁰ is an apocalyptic number.

58000 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 58000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72540).

58000 is an abundant number, since it is smaller than the sum of its proper divisors (87080).

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

58000 is a wasteful number, since it uses less digits than its factorization.

58000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 58000 is about 240.8318915758. The cubic root of 58000 is about 38.7087664063.

Adding to 58000 its reverse (85), we get a palindrome (58085).

It can be divided in two parts, 5 and 8000, that multiplied together give a square (40000 = 200²).

The spelling of 58000 in words is "fifty-eight thousand".