208819 has 4 divisors (see below), whose sum is σ = 224896. Its totient is φ = 192744.

The previous prime is 208807. The next prime is 208837. The reversal of 208819 is 918802.

208819 is nontrivially palindromic in base 15.

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

It is a cyclic number.

It is not a de Polignac number, because 208819 - 2⁵ = 208787 is a prime.

It is a super-2 number, since 2×208819² = 87210749522, which contains 22 as substring.

It is a Duffinian number.

208819 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (208889) 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, 8019 + ... + 8044.

It is an arithmetic number, because the mean of its divisors is an integer number (56224).

2²⁰⁸⁸¹⁹ is an apocalyptic number.

208819 is a deficient number, since it is larger than the sum of its proper divisors (16077).

208819 is a wasteful number, since it uses less digits than its factorization.

208819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16076.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 208819 is about 456.9671760641. The cubic root of 208819 is about 59.3275850454.

The spelling of 208819 in words is "two hundred eight thousand, eight hundred nineteen".