58913 has 2 divisors, whose sum is σ = 58914. Its totient is φ = 58912.

The previous prime is 58909. The next prime is 58921. The reversal of 58913 is 31985.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54289 + 4624 = 233^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 58913 - 2² = 58909 is a prime.

It is a Chen prime.

It is a nialpdrome in base 16.

It is not a weakly prime, because it can be changed into another prime (58943) 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, 29456 + 29457.

It is an arithmetic number, because the mean of its divisors is an integer number (29457).

2⁵⁸⁹¹³ is an apocalyptic number.

It is an amenable number.

58913 is a deficient number, since it is larger than the sum of its proper divisors (1).

58913 is an equidigital number, since it uses as much as digits as its factorization.

58913 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1080, while the sum is 26.

The square root of 58913 is about 242.7200032960. The cubic root of 58913 is about 38.9108196785.

The spelling of 58913 in words is "fifty-eight thousand, nine hundred thirteen".