103393 has 2 divisors, whose sum is σ = 103394. Its totient is φ = 103392.

The previous prime is 103391. The next prime is 103399. The reversal of 103393 is 393301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 20449 = 288^2 + 143^2 .

It is an emirp because it is prime and its reverse (393301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103393 - 2¹ = 103391 is a prime.

It is a super-2 number, since 2×103393² = 21380224898, which contains 22 as substring.

Together with 103391, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 103393.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51696 + 51697.

It is an arithmetic number, because the mean of its divisors is an integer number (51697).

2¹⁰³³⁹³ is an apocalyptic number.

It is an amenable number.

103393 is a deficient number, since it is larger than the sum of its proper divisors (1).

103393 is an equidigital number, since it uses as much as digits as its factorization.

103393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 103393 is about 321.5478191498. The cubic root of 103393 is about 46.9350241424.

Adding to 103393 its reverse (393301), we get a palindrome (496694).

It can be divided in two parts, 1033 and 93, that multiplied together give a palindrome (96069).

The spelling of 103393 in words is "one hundred three thousand, three hundred ninety-three".