205031033 has 12 divisors (see below), whose sum is σ = 229125780. Its totient is φ = 182808576.

The previous prime is 205031011. The next prime is 205031053. The reversal of 205031033 is 330130502.

It can be written as a sum of positive squares in 2 ways, for example, as 94633984 + 110397049 = 9728^2 + 10507^2 .

It is not a de Polignac number, because 205031033 - 2²² = 200836729 is a prime.

It is a super-3 number, since 3×205031033³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (205031053) 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 in 11 ways as a sum of consecutive naturals, for example, 10568 + ... + 22841.

It is an arithmetic number, because the mean of its divisors is an integer number (19093815).

Almost surely, 2^205031033 is an apocalyptic number.

It is an amenable number.

205031033 is a deficient number, since it is larger than the sum of its proper divisors (24094747).

205031033 is a wasteful number, since it uses less digits than its factorization.

205031033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33464 (or 33445 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 205031033 is about 14318.9047416344. The cubic root of 205031033 is about 589.6666056673. Note that the first 4 decimals are identical.

Adding to 205031033 its reverse (330130502), we get a palindrome (535161535).

The spelling of 205031033 in words is "two hundred five million, thirty-one thousand, thirty-three".