206304961 has 4 divisors (see below), whose sum is σ = 206338132. Its totient is φ = 206271792.

The previous prime is 206304919. The next prime is 206304971. The reversal of 206304961 is 169403602.

206304961 is nontrivially palindromic in base 9.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 14205361 + 192099600 = 3769^2 + 13860^2 .

It is a 3-Lehmer number, since φ(206304961) divides (206304961-1)³.

It is a cyclic number.

It is not a de Polignac number, because 206304961 - 2²³ = 197916353 is a prime.

It is a super-3 number, since 3×206304961³ (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (206304971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4146 + ... + 20731.

It is an arithmetic number, because the mean of its divisors is an integer number (51584533).

It is a Poulet number, since it divides 2^206304960-1.

Almost surely, 2^206304961 is an apocalyptic number.

206304961 is the 8293-rd octagonal number.

It is an amenable number.

206304961 is a deficient number, since it is larger than the sum of its proper divisors (33171).

206304961 is an equidigital number, since it uses as much as digits as its factorization.

206304961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33170.

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 206304961 is about 14363.3199852959. The cubic root of 206304961 is about 590.8853518102.

The spelling of 206304961 in words is "two hundred six million, three hundred four thousand, nine hundred sixty-one".