58350 has 24 divisors (see below), whose sum is σ = 145080. Its totient is φ = 15520.

The previous prime is 58337. The next prime is 58363. The reversal of 58350 is 5385.

It is an interprime number because it is at equal distance from previous prime (58337) and next prime (58363).

It is a congruent number.

It is an unprimeable number.

58350 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (6045).

2⁵⁸³⁵⁰ is an apocalyptic number.

58350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58350 is an abundant number, since it is smaller than the sum of its proper divisors (86730).

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 (72540).

58350 is a wasteful number, since it uses less digits than its factorization.

58350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 58350 is about 241.5574465836. The cubic root of 58350 is about 38.7864727705.

The spelling of 58350 in words is "fifty-eight thousand, three hundred fifty".