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13613 is a prime number
BaseRepresentation
bin11010100101101
3200200012
43110231
5413423
6143005
754455
oct32455
920605
1013613
11a256
127a65
136272
144d65
154078
hex352d

13613 has 2 divisors, whose sum is σ = 13614. Its totient is φ = 13612.

The previous prime is 13597. The next prime is 13619. The reversal of 13613 is 31631.

13613 = 822 + 832.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6889 + 6724 = 83^2 + 82^2 .

13613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 13613 - 24 = 13597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6806 + 6807.

It is an arithmetic number, because the mean of its divisors is an integer number (6807).

213613 is an apocalyptic number.

13613 is the 83-rd centered square number.

It is an amenable number.

13613 is a deficient number, since it is larger than the sum of its proper divisors (1).

13613 is an equidigital number, since it uses as much as digits as its factorization.

13613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54, while the sum is 14.

The square root of 13613 is about 116.6747616239. The cubic root of 13613 is about 23.8772669466.

It can be divided in two parts, 13 and 613, that added together give a palindrome (626).

The spelling of 13613 in words is "thirteen thousand, six hundred thirteen".