103993 has 2 divisors, whose sum is σ = 103994. Its totient is φ = 103992.

The previous prime is 103991. The next prime is 103997. The reversal of 103993 is 399301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59049 + 44944 = 243^2 + 212^2 .

It is a cyclic number.

It is not a de Polignac number, because 103993 - 2¹ = 103991 is a prime.

Together with 103991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (103991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51996 + 51997.

It is an arithmetic number, because the mean of its divisors is an integer number (51997).

2¹⁰³⁹⁹³ is an apocalyptic number.

It is an amenable number.

103993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103993 is an equidigital number, since it uses as much as digits as its factorization.

103993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 25.

The square root of 103993 is about 322.4794567100. The cubic root of 103993 is about 47.0256386447.

The spelling of 103993 in words is "one hundred three thousand, nine hundred ninety-three".