58002 has 16 divisors (see below), whose sum is σ = 132672. Its totient is φ = 16560.

The previous prime is 57991. The next prime is 58013. The reversal of 58002 is 20085.

It is an interprime number because it is at equal distance from previous prime (57991) and next prime (58013).

It is a plaindrome in base 15.

It is an unprimeable number.

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, 649 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (8292).

2⁵⁸⁰⁰² is an apocalyptic number.

58002 is an abundant number, since it is smaller than the sum of its proper divisors (74670).

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 (66336).

58002 is a wasteful number, since it uses less digits than its factorization.

58002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393.

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 58002 is about 240.8360438140. The cubic root of 58002 is about 38.7092113295.

Adding to 58002 its reverse (20085), we get a palindrome (78087).

The spelling of 58002 in words is "fifty-eight thousand, two".