3613 has 2 divisors, whose sum is σ = 3614. Its totient is φ = 3612.

The previous prime is 3607. The next prime is 3617. The reversal of 3613 is 3163.

Subtracting from 3613 its sum of digits (13), we obtain a square (3600 = 60^{2}).

Adding to 3613 its reverse (3163), we get a palindrome (6776).

It can be divided in two parts, 36 and 13, that added together give a square (49 = 7^{2}).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1849 + 1764 = 43^2 + 42^2 .

3613 is a truncatable prime.

It is an emirp because it is prime and its reverse (3163) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3613 - 2^{5} = 3581 is a prime.

3613 is a lucky number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 3593 and 3602.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3617) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1806 + 1807.

It is an arithmetic number, because the mean of its divisors is an integer number (1807).

3613 is the 43-rd centered square number.

It is an amenable number.

3613 is a deficient number, since it is larger than the sum of its proper divisors (1).

3613 is an equidigital number, since it uses as much as digits as its factorization.

3613 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 54, while the sum is 13.

The square root of 3613 is about 60.1082357086. The cubic root of 3613 is about 15.3446146762.

The spelling of 3613 in words is "three thousand, six hundred thirteen".

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