58340 has 12 divisors (see below), whose sum is σ = 122556. Its totient is φ = 23328.

The previous prime is 58337. The next prime is 58363. The reversal of 58340 is 4385.

It can be written as a sum of positive squares in 2 ways, for example, as 45796 + 12544 = 214^2 + 112^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 2917 = 58340 / (5 + 8 + 3 + 4 + 0).

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1439 + ... + 1478.

It is an arithmetic number, because the mean of its divisors is an integer number (10213).

2⁵⁸³⁴⁰ is an apocalyptic number.

It is an amenable number.

58340 is an abundant number, since it is smaller than the sum of its proper divisors (64216).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61278).

58340 is a wasteful number, since it uses less digits than its factorization.

58340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 58340 is about 241.5367466867. The cubic root of 58340 is about 38.7842569071.

The spelling of 58340 in words is "fifty-eight thousand, three hundred forty".