58883 has 8 divisors (see below), whose sum is σ = 66096. Its totient is φ = 52000.

The previous prime is 58831. The next prime is 58889. The reversal of 58883 is 38885.

It is a happy number.

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 58883 - 2¹⁰ = 57859 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (58889) 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, 533 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (8262).

2⁵⁸⁸⁸³ is an apocalyptic number.

58883 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

58883 is a deficient number, since it is larger than the sum of its proper divisors (7213).

58883 is a wasteful number, since it uses less digits than its factorization.

58883 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165.

The product of its digits is 7680, while the sum is 32.

The square root of 58883 is about 242.6581958228. The cubic root of 58883 is about 38.9042137636.

It can be divided in two parts, 5 and 8883, that added together give a palindrome (8888).

The spelling of 58883 in words is "fifty-eight thousand, eight hundred eighty-three".