9613 has 2 divisors, whose sum is σ = 9614. Its totient is φ = 9612.

The previous prime is 9601. The next prime is 9619. The reversal of 9613 is 3169.

9613 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9604 + 9 = 98^2 + 3^2 .

9613 is a truncatable prime.

It is an emirp because it is prime and its reverse (3169) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-9613 is a prime.

9613 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9619) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4806 + 4807.

It is an arithmetic number, because the mean of its divisors is an integer number (4807).

2⁹⁶¹³ is an apocalyptic number.

It is an amenable number.

9613 is a deficient number, since it is larger than the sum of its proper divisors (1).

9613 is an equidigital number, since it uses as much as digits as its factorization.

9613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 162, while the sum is 19.

The square root of 9613 is about 98.0459076147. The cubic root of 9613 is about 21.2627605019.

The spelling of 9613 in words is "nine thousand, six hundred thirteen".