205205312 has 28 divisors (see below), whose sum is σ = 438529476. Its totient is φ = 94709760.

The previous prime is 205205303. The next prime is 205205323. The reversal of 205205312 is 213502502.

It can be written as a sum of positive squares in 2 ways, for example, as 132342016 + 72863296 = 11504^2 + 8536^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 122489 + ... + 124152.

It is an arithmetic number, because the mean of its divisors is an integer number (15661767).

Almost surely, 2^205205312 is an apocalyptic number.

It is an amenable number.

205205312 is an abundant number, since it is smaller than the sum of its proper divisors (233324164).

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

205205312 is a wasteful number, since it uses less digits than its factorization.

205205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246666 (or 246656 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 205205312 is about 14324.9890750395. The cubic root of 205205312 is about 589.8336330696.

Adding to 205205312 its reverse (213502502), we get a palindrome (418707814).

The spelling of 205205312 in words is "two hundred five million, two hundred five thousand, three hundred twelve".