205953966 has 12 divisors (see below), whose sum is σ = 446233632. Its totient is φ = 68651316.

The previous prime is 205953931. The next prime is 205953971. The reversal of 205953966 is 669359502.

205953966 is a `hidden beast` number, since 2 + 0 + 59 + 539 + 66 = 666.

It is a super-2 number, since 2×205953966² = 84834072222258312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5720926 + ... + 5720961.

It is an arithmetic number, because the mean of its divisors is an integer number (37186136).

Almost surely, 2^205953966 is an apocalyptic number.

205953966 is an abundant number, since it is smaller than the sum of its proper divisors (240279666).

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

205953966 is a wasteful number, since it uses less digits than its factorization.

205953966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441895 (or 11441892 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 205953966 is about 14351.0963344269. The cubic root of 205953966 is about 590.5500625173.

The spelling of 205953966 in words is "two hundred five million, nine hundred fifty-three thousand, nine hundred sixty-six".