613 has 2 divisors, whose sum is σ = 614. Its totient is φ = 612.

The previous prime is 607. The next prime is 617. The reversal of 613 is 316.

613 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., 324 + 289 = 18^2 + 17^2 .

613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 613 - 2^{9} = 101 is a prime.

613 is a lucky number.

It is a plaindrome in base 8 and base 15.

It is a nialpdrome in base 9 and base 12.

It is a self number, because there is not a number *n* which added to its sum of digits gives 613.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 306 + 307.

It is an arithmetic number, because the mean of its divisors is an integer number (307).

613 is the 18-th centered square number.

It is an amenable number.

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

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

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

The product of its digits is 18, while the sum is 10.

The square root of 613 is about 24.7588368063. The cubic root of 613 is about 8.4948065160.

Subtracting from 613 its product of digits (18), we obtain a palindrome (595).

Adding to 613 its reverse (316), we get a palindrome (929).

It can be divided in two parts, 61 and 3, that added together give a 6-th power (64 = 2^{6}).

The spelling of 613 in words is "six hundred thirteen", and thus it is an aban number and an oban number.

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