208801 has 4 divisors (see below), whose sum is σ = 212400. Its totient is φ = 205204.

The previous prime is 208799. The next prime is 208807. The reversal of 208801 is 108802.

208801 = 28² + 29² + ... + 86².

It is a happy number.

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, and also an emirpimes, since its reverse is a distinct semiprime: 108802 = 2 ⋅54401.

It is a cyclic number.

It is not a de Polignac number, because 208801 - 2¹ = 208799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (208807) 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, 1711 + ... + 1828.

It is an arithmetic number, because the mean of its divisors is an integer number (53100).

2²⁰⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

208801 is a deficient number, since it is larger than the sum of its proper divisors (3599).

208801 is an equidigital number, since it uses as much as digits as its factorization.

208801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 208801 is about 456.9474805708. The cubic root of 208801 is about 59.3258803359.

Subtracting from 208801 its reverse (108802), we obtain a palindrome (99999).

The spelling of 208801 in words is "two hundred eight thousand, eight hundred one".