58129 has 2 divisors, whose sum is σ = 58130. Its totient is φ = 58128.

The previous prime is 58111. The next prime is 58147. The reversal of 58129 is 92185.

It is a balanced prime because it is at equal distance from previous prime (58111) and next prime (58147).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 529 = 240^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 58129 - 2¹¹ = 56081 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (58109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29064 + 29065.

It is an arithmetic number, because the mean of its divisors is an integer number (29065).

2⁵⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

58129 is a deficient number, since it is larger than the sum of its proper divisors (1).

58129 is an equidigital number, since it uses as much as digits as its factorization.

58129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 25.

The square root of 58129 is about 241.0995644957. The cubic root of 58129 is about 38.7374430351.

The spelling of 58129 in words is "fifty-eight thousand, one hundred twenty-nine".