206965 has 16 divisors (see below), whose sum is σ = 279936. Its totient is φ = 145600.

The previous prime is 206953. The next prime is 206993. The reversal of 206965 is 569602.

206965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 206965 - 2⁵ = 206933 is a prime.

It is a super-2 number, since 2×206965² = 85669022450, which contains 22 as substring.

It is a Duffinian number.

206965 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2880 + ... + 2950.

It is an arithmetic number, because the mean of its divisors is an integer number (17496).

2²⁰⁶⁹⁶⁵ is an apocalyptic number.

It is an amenable number.

206965 is a deficient number, since it is larger than the sum of its proper divisors (72971).

206965 is a wasteful number, since it uses less digits than its factorization.

206965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 206965 is about 454.9340611561. The cubic root of 206965 is about 59.1514828017.

The spelling of 206965 in words is "two hundred six thousand, nine hundred sixty-five".