102793 has 2 divisors, whose sum is σ = 102794. Its totient is φ = 102792.

The previous prime is 102769. The next prime is 102797. The reversal of 102793 is 397201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100489 + 2304 = 317^2 + 48^2 .

It is a cyclic number.

It is not a de Polignac number, because 102793 - 2⁵ = 102761 is a prime.

It is not a weakly prime, because it can be changed into another prime (102797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51396 + 51397.

It is an arithmetic number, because the mean of its divisors is an integer number (51397).

2¹⁰²⁷⁹³ is an apocalyptic number.

It is an amenable number.

102793 is a deficient number, since it is larger than the sum of its proper divisors (1).

102793 is an equidigital number, since it uses as much as digits as its factorization.

102793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 102793 is about 320.6134744517. The cubic root of 102793 is about 46.8440583951.

Adding to 102793 its reverse (397201), we get a palindrome (499994).

The spelling of 102793 in words is "one hundred two thousand, seven hundred ninety-three".