58027 has 2 divisors, whose sum is σ = 58028. Its totient is φ = 58026.

The previous prime is 58013. The next prime is 58031. The reversal of 58027 is 72085.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 58027 - 2⁷ = 57899 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57989 and 58007.

It is not a weakly prime, because it can be changed into another prime (58057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29013 + 29014.

It is an arithmetic number, because the mean of its divisors is an integer number (29014).

2⁵⁸⁰²⁷ is an apocalyptic number.

58027 is a deficient number, since it is larger than the sum of its proper divisors (1).

58027 is an equidigital number, since it uses as much as digits as its factorization.

58027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 58027 is about 240.8879407525. The cubic root of 58027 is about 38.7147720072.

The spelling of 58027 in words is "fifty-eight thousand, twenty-seven".