58537 has 2 divisors, whose sum is σ = 58538. Its totient is φ = 58536.

The previous prime is 58511. The next prime is 58543. The reversal of 58537 is 73585.

58537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 11881 = 216^2 + 109^2 .

It is a cyclic number.

It is not a de Polignac number, because 58537 - 2¹¹ = 56489 is a prime.

It is not a weakly prime, because it can be changed into another prime (58567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29268 + 29269.

It is an arithmetic number, because the mean of its divisors is an integer number (29269).

2⁵⁸⁵³⁷ is an apocalyptic number.

It is an amenable number.

58537 is a deficient number, since it is larger than the sum of its proper divisors (1).

58537 is an equidigital number, since it uses as much as digits as its factorization.

58537 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4200, while the sum is 28.

The square root of 58537 is about 241.9442084448. The cubic root of 58537 is about 38.8278628646.

It can be divided in two parts, 58 and 537, that added together give a palindrome (595).

The spelling of 58537 in words is "fifty-eight thousand, five hundred thirty-seven".