58527 has 12 divisors (see below), whose sum is σ = 96720. Its totient is φ = 33408.

The previous prime is 58511. The next prime is 58537. The reversal of 58527 is 72585.

It is a happy number.

It is not a de Polignac number, because 58527 - 2⁴ = 58511 is a prime.

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

58527 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 58527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58537) 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, 402 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2⁵⁸⁵²⁷ is an apocalyptic number.

58527 is a deficient number, since it is larger than the sum of its proper divisors (38193).

58527 is a wasteful number, since it uses less digits than its factorization.

58527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 939 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 58527 is about 241.9235416407. The cubic root of 58527 is about 38.8256517232.

It can be divided in two parts, 58 and 527, that added together give a palindrome (585).

The spelling of 58527 in words is "fifty-eight thousand, five hundred twenty-seven".