205033 has 2 divisors, whose sum is σ = 205034. Its totient is φ = 205032.

The previous prime is 205031. The next prime is 205043. The reversal of 205033 is 330502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204304 + 729 = 452^2 + 27^2 .

It is a cyclic number.

It is not a de Polignac number, because 205033 - 2¹ = 205031 is a prime.

Together with 205031, it forms a pair of twin primes.

205033 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (205031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102516 + 102517.

It is an arithmetic number, because the mean of its divisors is an integer number (102517).

2²⁰⁵⁰³³ is an apocalyptic number.

It is an amenable number.

205033 is a deficient number, since it is larger than the sum of its proper divisors (1).

205033 is an equidigital number, since it uses as much as digits as its factorization.

205033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 205033 is about 452.8056978440. The cubic root of 205033 is about 58.9668491350.

Adding to 205033 its reverse (330502), we get a palindrome (535535).

The spelling of 205033 in words is "two hundred five thousand, thirty-three".