205420033 has 16 divisors (see below), whose sum is σ = 258209280. Its totient is φ = 159068736.

The previous prime is 205420031. The next prime is 205420037. The reversal of 205420033 is 330024502.

It is a cyclic number.

It is not a de Polignac number, because 205420033 - 2¹ = 205420031 is a prime.

It is not an unprimeable number, because it can be changed into a prime (205420031) 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 15 ways as a sum of consecutive naturals, for example, 19738 + ... + 28291.

It is an arithmetic number, because the mean of its divisors is an integer number (16138080).

Almost surely, 2^205420033 is an apocalyptic number.

It is an amenable number.

205420033 is a deficient number, since it is larger than the sum of its proper divisors (52789247).

205420033 is a wasteful number, since it uses less digits than its factorization.

205420033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48096.

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 205420033 is about 14332.4817460201. The cubic root of 205420033 is about 590.0392897325.

Adding to 205420033 its reverse (330024502), we get a palindrome (535444535).

The spelling of 205420033 in words is "two hundred five million, four hundred twenty thousand, thirty-three".