58545 has 12 divisors (see below), whose sum is σ = 101556. Its totient is φ = 31200.

The previous prime is 58543. The next prime is 58549. The reversal of 58545 is 54585.

58545 is nontrivially palindromic in base 8.

58545 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6561 + 51984 = 81^2 + 228^2 .

It is not a de Polignac number, because 58545 - 2¹ = 58543 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 585 and 45 contains 58545 itself.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (58543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 606 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2⁵⁸⁵⁴⁵ is an apocalyptic number.

It is an amenable number.

58545 is a deficient number, since it is larger than the sum of its proper divisors (43011).

58545 is a wasteful number, since it uses less digits than its factorization.

58545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1309 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 58545 is about 241.9607406172. The cubic root of 58545 is about 38.8296315963.

Subtracting from 58545 its product of digits (4000), we obtain a palindrome (54545).

It can be divided in two parts, 585 and 45, that added together give a triangular number (630 = T₃₅).

The spelling of 58545 in words is "fifty-eight thousand, five hundred forty-five".