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1613 is a prime number
BaseRepresentation
bin11001001101
32012202
4121031
522423
611245
74463
oct3115
92182
101613
111237
12b25
13971
14833
15728
hex64d

1613 has 2 divisors, whose sum is σ = 1614. Its totient is φ = 1612.

The previous prime is 1609. The next prime is 1619. The reversal of 1613 is 3161.

Adding to 1613 its reverse (3161), we get a palindrome (4774).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1444 + 169 = 38^2 + 13^2 .

1613 is a truncatable prime.

It is a cyclic number.

It is not a de Polignac number, because 1613 - 22 = 1609 is a prime.

It is a plaindrome in base 6 and base 11.

It is a nialpdrome in base 13 and base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1594 and 1603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 806 + 807.

It is an arithmetic number, because the mean of its divisors is an integer number (807).

It is an amenable number.

1613 is a deficient number, since it is larger than the sum of its proper divisors (1).

1613 is an equidigital number, since it uses as much as digits as its factorization.

1613 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18, while the sum is 11.

The square root of 1613 is about 40.1621712560. The cubic root of 1613 is about 11.7276624054.

The spelling of 1613 in words is "one thousand, six hundred thirteen".