58237 has 2 divisors, whose sum is σ = 58238. Its totient is φ = 58236.

The previous prime is 58231. The next prime is 58243. The reversal of 58237 is 73285.

It is a balanced prime because it is at equal distance from previous prime (58231) and next prime (58243).

It can be written as a sum of positive squares in only one way, i.e., 54756 + 3481 = 234^2 + 59^2 .

It is a cyclic number.

It is not a de Polignac number, because 58237 - 2³ = 58229 is a prime.

58237 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58237.

It is not a weakly prime, because it can be changed into another prime (58231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29118 + 29119.

It is an arithmetic number, because the mean of its divisors is an integer number (29119).

2⁵⁸²³⁷ is an apocalyptic number.

It is an amenable number.

58237 is a deficient number, since it is larger than the sum of its proper divisors (1).

58237 is an equidigital number, since it uses as much as digits as its factorization.

58237 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1680, while the sum is 25.

The square root of 58237 is about 241.3234344195. The cubic root of 58237 is about 38.7614187645.

The spelling of 58237 in words is "fifty-eight thousand, two hundred thirty-seven".