58645 has 8 divisors (see below), whose sum is σ = 72504. Its totient is φ = 45504.

The previous prime is 58631. The next prime is 58657. The reversal of 58645 is 54685.

58645 is nontrivially palindromic in base 13.

58645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 54289 = 66^2 + 233^2 .

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 58645 - 2⁵ = 58613 is a prime.

It is a Duffinian number.

58645 is a lucky number.

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (9063).

2⁵⁸⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

58645 is a deficient number, since it is larger than the sum of its proper divisors (13859).

58645 is a wasteful number, since it uses less digits than its factorization.

58645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359.

The product of its digits is 4800, while the sum is 28.

The square root of 58645 is about 242.1672975445. The cubic root of 58645 is about 38.8517271607.

It can be divided in two parts, 58 and 645, that added together give a triangular number (703 = T₃₇).

The spelling of 58645 in words is "fifty-eight thousand, six hundred forty-five".