208957 has 4 divisors (see below), whose sum is σ = 238816. Its totient is φ = 179100.

The previous prime is 208933. The next prime is 208961. The reversal of 208957 is 759802.

208957 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 Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 208957 - 2¹¹ = 206909 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208907) 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, 14919 + ... + 14932.

It is an arithmetic number, because the mean of its divisors is an integer number (59704).

2²⁰⁸⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

208957 is a deficient number, since it is larger than the sum of its proper divisors (29859).

208957 is an equidigital number, since it uses as much as digits as its factorization.

208957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29858.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 208957 is about 457.1181466536. The cubic root of 208957 is about 59.3406512317.

It can be divided in two parts, 20895 and 7, that added together give a palindrome (20902).

The spelling of 208957 in words is "two hundred eight thousand, nine hundred fifty-seven".