205633 has 2 divisors, whose sum is σ = 205634. Its totient is φ = 205632.

The previous prime is 205627. The next prime is 205651. The reversal of 205633 is 336502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 142129 + 63504 = 377^2 + 252^2 .

It is a cyclic number.

It is not a de Polignac number, because 205633 - 2¹³ = 197441 is a prime.

205633 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 205633.

It is not a weakly prime, because it can be changed into another prime (205603) 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, 102816 + 102817.

It is an arithmetic number, because the mean of its divisors is an integer number (102817).

2²⁰⁵⁶³³ is an apocalyptic number.

It is an amenable number.

205633 is a deficient number, since it is larger than the sum of its proper divisors (1).

205633 is an equidigital number, since it uses as much as digits as its factorization.

205633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 205633 is about 453.4677496802. The cubic root of 205633 is about 59.0243124927.

It can be divided in two parts, 205 and 633, that added together give a palindrome (838).

The spelling of 205633 in words is "two hundred five thousand, six hundred thirty-three".