58387 has 8 divisors (see below), whose sum is σ = 70400. Its totient is φ = 47304.

The previous prime is 58379. The next prime is 58391. The reversal of 58387 is 78385.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58387 - 2³ = 58379 is a prime.

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

It is a Duffinian number.

58387 is a lucky number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (58337) 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 7 ways as a sum of consecutive naturals, for example, 87 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (8800).

2⁵⁸³⁸⁷ is an apocalyptic number.

58387 is a deficient number, since it is larger than the sum of its proper divisors (12013).

58387 is a wasteful number, since it uses less digits than its factorization.

58387 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465.

The product of its digits is 6720, while the sum is 31.

The square root of 58387 is about 241.6340207835. The cubic root of 58387 is about 38.7946692645.

It can be divided in two parts, 583 and 87, that multiplied together give a triangular number (50721 = T₃₁₈).

The spelling of 58387 in words is "fifty-eight thousand, three hundred eighty-seven".