58033 has 4 divisors (see below), whose sum is σ = 58608. Its totient is φ = 57460.

The previous prime is 58031. The next prime is 58043. The reversal of 58033 is 33085.

58033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 58033 - 2¹ = 58031 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 58033.

It is not an unprimeable number, because it can be changed into a prime (58031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (14652).

2⁵⁸⁰³³ is an apocalyptic number.

It is an amenable number.

58033 is a deficient number, since it is larger than the sum of its proper divisors (575).

58033 is a wasteful number, since it uses less digits than its factorization.

58033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 58033 is about 240.9003943542. The cubic root of 58033 is about 38.7161063322.

The spelling of 58033 in words is "fifty-eight thousand, thirty-three".