58613 has 2 divisors, whose sum is σ = 58614. Its totient is φ = 58612.

The previous prime is 58603. The next prime is 58631. The reversal of 58613 is 31685.

Together with next prime (58631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58564 + 49 = 242^2 + 7^2 .

It is a cyclic number.

It is not a de Polignac number, because 58613 - 2⁶ = 58549 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29306 + 29307.

It is an arithmetic number, because the mean of its divisors is an integer number (29307).

2⁵⁸⁶¹³ is an apocalyptic number.

It is an amenable number.

58613 is a deficient number, since it is larger than the sum of its proper divisors (1).

58613 is an equidigital number, since it uses as much as digits as its factorization.

58613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 720, while the sum is 23.

The square root of 58613 is about 242.1012185017. The cubic root of 58613 is about 38.8446593148.

The spelling of 58613 in words is "fifty-eight thousand, six hundred thirteen".