204793 has 2 divisors, whose sum is σ = 204794. Its totient is φ = 204792.

The previous prime is 204791. The next prime is 204797. The reversal of 204793 is 397402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183184 + 21609 = 428^2 + 147^2 .

It is a cyclic number.

It is not a de Polignac number, because 204793 - 2¹ = 204791 is a prime.

Together with 204791, it forms a pair of twin primes.

204793 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102396 + 102397.

It is an arithmetic number, because the mean of its divisors is an integer number (102397).

2²⁰⁴⁷⁹³ is an apocalyptic number.

It is an amenable number.

204793 is a deficient number, since it is larger than the sum of its proper divisors (1).

204793 is an equidigital number, since it uses as much as digits as its factorization.

204793 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 204793 is about 452.5406059129. The cubic root of 204793 is about 58.9438324024.

The spelling of 204793 in words is "two hundred four thousand, seven hundred ninety-three".