58001 has 4 divisors (see below), whose sum is σ = 59904. Its totient is φ = 56100.

The previous prime is 57991. The next prime is 58013. The reversal of 58001 is 10085.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 10085 = 5 ⋅2017.

It is a cyclic number.

It is not a de Polignac number, because 58001 - 2¹⁴ = 41617 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (58031) 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 3 ways as a sum of consecutive naturals, for example, 905 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (14976).

2⁵⁸⁰⁰¹ is an apocalyptic number.

It is an amenable number.

58001 is a deficient number, since it is larger than the sum of its proper divisors (1903).

58001 is a wasteful number, since it uses less digits than its factorization.

58001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 58001 is about 240.8339677039. The cubic root of 58001 is about 38.7089888692.

Adding to 58001 its reverse (10085), we get a palindrome (68086).

The spelling of 58001 in words is "fifty-eight thousand, one".