58057 has 2 divisors, whose sum is σ = 58058. Its totient is φ = 58056.

The previous prime is 58049. The next prime is 58061. The reversal of 58057 is 75085.

58057 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., 48841 + 9216 = 221^2 + 96^2 .

It is a cyclic number.

It is not a de Polignac number, because 58057 - 2³ = 58049 is a prime.

It is not a weakly prime, because it can be changed into another prime (58027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29028 + 29029.

It is an arithmetic number, because the mean of its divisors is an integer number (29029).

2⁵⁸⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

58057 is a deficient number, since it is larger than the sum of its proper divisors (1).

58057 is an equidigital number, since it uses as much as digits as its factorization.

58057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 58057 is about 240.9502023240. The cubic root of 58057 is about 38.7214427126.

The spelling of 58057 in words is "fifty-eight thousand, fifty-seven".