205287966 has 64 divisors (see below), whose sum is σ = 493819200. Its totient is φ = 62840448.

The previous prime is 205287947. The next prime is 205288001. The reversal of 205287966 is 669782502.

205287966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160120 + ... + 161396.

It is an arithmetic number, because the mean of its divisors is an integer number (7715925).

Almost surely, 2^205287966 is an apocalyptic number.

205287966 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 205287966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246909600).

205287966 is an abundant number, since it is smaller than the sum of its proper divisors (288531234).

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

205287966 is a wasteful number, since it uses less digits than its factorization.

205287966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 205287966 is about 14327.8737431623. The cubic root of 205287966 is about 589.9128148487.

The spelling of 205287966 in words is "two hundred five million, two hundred eighty-seven thousand, nine hundred sixty-six".