205288033 has 2 divisors, whose sum is σ = 205288034. Its totient is φ = 205288032.

The previous prime is 205288021. The next prime is 205288043. The reversal of 205288033 is 330882502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132987024 + 72301009 = 11532^2 + 8503^2 .

It is a cyclic number.

It is not a de Polignac number, because 205288033 - 2⁵ = 205288001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205287986 and 205288004.

It is not a weakly prime, because it can be changed into another prime (205288043) 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, 102644016 + 102644017.

It is an arithmetic number, because the mean of its divisors is an integer number (102644017).

Almost surely, 2^205288033 is an apocalyptic number.

It is an amenable number.

205288033 is a deficient number, since it is larger than the sum of its proper divisors (1).

205288033 is an equidigital number, since it uses as much as digits as its factorization.

205288033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 205288033 is about 14327.8760812620. The cubic root of 205288033 is about 589.9128790254.

It can be divided in two parts, 20528 and 8033, that added together give a 4-th power (28561 = 13⁴).

The spelling of 205288033 in words is "two hundred five million, two hundred eighty-eight thousand, thirty-three".