58313 has 2 divisors, whose sum is σ = 58314. Its totient is φ = 58312.

The previous prime is 58309. The next prime is 58321. The reversal of 58313 is 31385.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53824 + 4489 = 232^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 58313 - 2² = 58309 is a prime.

It is not a weakly prime, because it can be changed into another prime (58363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29156 + 29157.

It is an arithmetic number, because the mean of its divisors is an integer number (29157).

2⁵⁸³¹³ is an apocalyptic number.

It is an amenable number.

58313 is a deficient number, since it is larger than the sum of its proper divisors (1).

58313 is an equidigital number, since it uses as much as digits as its factorization.

58313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 360, while the sum is 20.

The square root of 58313 is about 241.4808481019. The cubic root of 58313 is about 38.7782728109.

Adding to 58313 its reverse (31385), we get a palindrome (89698).

The spelling of 58313 in words is "fifty-eight thousand, three hundred thirteen".