58587 has 8 divisors (see below), whose sum is σ = 79680. Its totient is φ = 38280.

The previous prime is 58579. The next prime is 58601. The reversal of 58587 is 78585.

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

It is not a de Polignac number, because 58587 - 2³ = 58579 is a prime.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 5.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58587.

It is not an unprimeable number, because it can be changed into a prime (58537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (9960).

2⁵⁸⁵⁸⁷ is an apocalyptic number.

58587 is a deficient number, since it is larger than the sum of its proper divisors (21093).

58587 is a wasteful number, since it uses less digits than its factorization.

58587 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393.

The product of its digits is 11200, while the sum is 33.

The square root of 58587 is about 242.0475159963. The cubic root of 58587 is about 38.8389147955.

The spelling of 58587 in words is "fifty-eight thousand, five hundred eighty-seven".