58321 has 2 divisors, whose sum is σ = 58322. Its totient is φ = 58320.

The previous prime is 58313. The next prime is 58337. The reversal of 58321 is 12385.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 25921 = 180^2 + 161^2 .

It is a cyclic number.

It is not a de Polignac number, because 58321 - 2³ = 58313 is a prime.

It is a Chen prime.

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

It is equal to p₅₉₀₅ and since 58321 and 5905 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (58391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29160 + 29161.

It is an arithmetic number, because the mean of its divisors is an integer number (29161).

2⁵⁸³²¹ is an apocalyptic number.

It is an amenable number.

58321 is a deficient number, since it is larger than the sum of its proper divisors (1).

58321 is an equidigital number, since it uses as much as digits as its factorization.

58321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 240, while the sum is 19.

The square root of 58321 is about 241.4974119944. The cubic root of 58321 is about 38.7800460690.

Subtracting from 58321 its product of digits (240), we obtain a square (58081 = 241²).

The spelling of 58321 in words is "fifty-eight thousand, three hundred twenty-one".