208897 has 4 divisors (see below), whose sum is σ = 224980. Its totient is φ = 192816.

The previous prime is 208891. The next prime is 208907. The reversal of 208897 is 798802.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 798802 = 2 ⋅399401.

It can be written as a sum of positive squares in 2 ways, for example, as 41616 + 167281 = 204^2 + 409^2 .

It is not a de Polignac number, because 208897 - 2³ = 208889 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (208891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8022 + ... + 8047.

It is an arithmetic number, because the mean of its divisors is an integer number (56245).

It is a Proth number, since it is equal to 51 ⋅ 2¹² + 1 and 51 < 2¹².

2²⁰⁸⁸⁹⁷ is an apocalyptic number.

It is an amenable number.

208897 is a deficient number, since it is larger than the sum of its proper divisors (16083).

208897 is a wasteful number, since it uses less digits than its factorization.

208897 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16082.

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 208897 is about 457.0525133942. The cubic root of 208897 is about 59.3349709882.

The spelling of 208897 in words is "two hundred eight thousand, eight hundred ninety-seven".