58937 has 2 divisors, whose sum is σ = 58938. Its totient is φ = 58936.

The previous prime is 58921. The next prime is 58943. The reversal of 58937 is 73985.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32041 + 26896 = 179^2 + 164^2 .

It is a cyclic number.

It is not a de Polignac number, because 58937 - 2⁴ = 58921 is a prime.

It is a Chen prime.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58937.

It is not a weakly prime, because it can be changed into another prime (58907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29468 + 29469.

It is an arithmetic number, because the mean of its divisors is an integer number (29469).

2⁵⁸⁹³⁷ is an apocalyptic number.

It is an amenable number.

58937 is a deficient number, since it is larger than the sum of its proper divisors (1).

58937 is an equidigital number, since it uses as much as digits as its factorization.

58937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7560, while the sum is 32.

The square root of 58937 is about 242.7694379447. The cubic root of 58937 is about 38.9161027959.

It can be divided in two parts, 589 and 37, that added together give a palindrome (626).

The spelling of 58937 in words is "fifty-eight thousand, nine hundred thirty-seven".