58385 has 4 divisors (see below), whose sum is σ = 70068. Its totient is φ = 46704.

The previous prime is 58379. The next prime is 58391.

58385 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (58379) and next prime (58391).

It can be written as a sum of positive squares in 2 ways, for example, as 36481 + 21904 = 191^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 58385 - 2⁴ = 58369 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 16.

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, 5834 + ... + 5843.

It is an arithmetic number, because the mean of its divisors is an integer number (17517).

2⁵⁸³⁸⁵ is an apocalyptic number.

It is an amenable number.

58385 is a deficient number, since it is larger than the sum of its proper divisors (11683).

58385 is a wasteful number, since it uses less digits than its factorization.

58385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11682.

The product of its digits is 4800, while the sum is 29.

The square root of 58385 is about 241.6298822580. The cubic root of 58385 is about 38.7942262993.

The spelling of 58385 in words is "fifty-eight thousand, three hundred eighty-five".