206957 has 4 divisors (see below), whose sum is σ = 207900. Its totient is φ = 206016.

The previous prime is 206953. The next prime is 206993. The reversal of 206957 is 759602.

206957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 139876 + 67081 = 374^2 + 259^2 .

It is a cyclic number.

It is not a de Polignac number, because 206957 - 2² = 206953 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 206957.

It is not an unprimeable number, because it can be changed into a prime (206951) 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, 53 + ... + 645.

It is an arithmetic number, because the mean of its divisors is an integer number (51975).

2²⁰⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

206957 is a deficient number, since it is larger than the sum of its proper divisors (943).

206957 is an equidigital number, since it uses as much as digits as its factorization.

206957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942.

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 206957 is about 454.9252685881. The cubic root of 206957 is about 59.1507206471.

It can be divided in two parts, 20695 and 7, that added together give a palindrome (20702).

The spelling of 206957 in words is "two hundred six thousand, nine hundred fifty-seven".