58673 has 4 divisors (see below), whose sum is σ = 61248. Its totient is φ = 56100.

The previous prime is 58661. The next prime is 58679. The reversal of 58673 is 37685.

58673 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 an emirpimes, since its reverse is a distinct semiprime: 37685 = 5 ⋅7537.

It is a cyclic number.

It is not a de Polignac number, because 58673 - 2⁴ = 58657 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a nialpdrome in base 9 and base 16.

It is not an unprimeable number, because it can be changed into a prime (58679) 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, 1253 + ... + 1298.

It is an arithmetic number, because the mean of its divisors is an integer number (15312).

2⁵⁸⁶⁷³ is an apocalyptic number.

It is an amenable number.

58673 is a deficient number, since it is larger than the sum of its proper divisors (2575).

58673 is a wasteful number, since it uses less digits than its factorization.

58673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574.

The product of its digits is 5040, while the sum is 29.

The square root of 58673 is about 242.2251019197. The cubic root of 58673 is about 38.8579094170.

It can be divided in two parts, 586 and 73, that multiplied together give a triangular number (42778 = T₂₉₂).

The spelling of 58673 in words is "fifty-eight thousand, six hundred seventy-three".