205738950 has 24 divisors (see below), whose sum is σ = 510232968. Its totient is φ = 54863680.

The previous prime is 205738937. The next prime is 205738957. The reversal of 205738950 is 59837502.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 205738899 and 205738908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205738957) 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, 685647 + ... + 685946.

It is an arithmetic number, because the mean of its divisors is an integer number (21259707).

Almost surely, 2^205738950 is an apocalyptic number.

205738950 is an abundant number, since it is smaller than the sum of its proper divisors (304494018).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205738950 is a wasteful number, since it uses less digits than its factorization.

205738950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371608 (or 1371603 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 205738950 is about 14343.6031038230. The cubic root of 205738950 is about 590.3444794792.

The spelling of 205738950 in words is "two hundred five million, seven hundred thirty-eight thousand, nine hundred fifty".