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103613 is a prime number

103613 has 2 divisors, whose sum is σ = 103614. Its totient is φ = 103612.

The previous prime is 103591. The next prime is 103619. The reversal of 103613 is 316301.

Adding to 103613 its reverse (316301), we get a palindrome (419914).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68644 + 34969 = 262^2 + 187^2 .

It is an emirp because it is prime and its reverse (316301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103613 - 26 = 103549 is a prime.

It is a super-3 number, since 3×1036133 = 3337059881902191, which contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103613.

It is not a weakly prime, because it can be changed into another prime (103619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51806 + 51807.

It is an arithmetic number, because the mean of its divisors is an integer number (51807).

2103613 is an apocalyptic number.

It is an amenable number.

103613 is a deficient number, since it is larger than the sum of its proper divisors (1).

103613 is an equidigital number, since it uses as much as digits as its factorization.

103613 is an evil number, because the sum of its binary digits is even.

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

The square root of 103613 is about 321.8897326725. The cubic root of 103613 is about 46.9682900639.

The spelling of 103613 in words is "one hundred three thousand, six hundred thirteen".