205209933 has 8 divisors (see below), whose sum is σ = 285509568. Its totient is φ = 130858464.

The previous prime is 205209931. The next prime is 205209973. The reversal of 205209933 is 339902502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 205209933 - 2¹ = 205209931 is a prime.

It is a super-2 number, since 2×205209933² = 84222233203728978, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205209894 and 205209903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205209931) 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 7 ways as a sum of consecutive naturals, for example, 1486960 + ... + 1487097.

It is an arithmetic number, because the mean of its divisors is an integer number (35688696).

Almost surely, 2^205209933 is an apocalyptic number.

205209933 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

205209933 is a deficient number, since it is larger than the sum of its proper divisors (80299635).

205209933 is a wasteful number, since it uses less digits than its factorization.

205209933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974083.

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 205209933 is about 14325.1503657030. The cubic root of 205209933 is about 589.8380605066.

The spelling of 205209933 in words is "two hundred five million, two hundred nine thousand, nine hundred thirty-three".