208013 has 4 divisors (see below), whose sum is σ = 224028. Its totient is φ = 192000.

The previous prime is 208009. The next prime is 208037. The reversal of 208013 is 310802.

208013 = 322² + 323².

208013 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.

It can be written as a sum of positive squares in 2 ways, for example, as 103684 + 104329 = 322^2 + 323^2 .

It is a cyclic number.

It is not a de Polignac number, because 208013 - 2² = 208009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208003) 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, 7988 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (56007).

2²⁰⁸⁰¹³ is an apocalyptic number.

208013 is the 323-rd centered square number.

It is an amenable number.

208013 is a deficient number, since it is larger than the sum of its proper divisors (16015).

208013 is a wasteful number, since it uses less digits than its factorization.

208013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16014.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 208013 is about 456.0844220098. The cubic root of 208013 is about 59.2511557158.

Adding to 208013 its reverse (310802), we get a palindrome (518815).

The spelling of 208013 in words is "two hundred eight thousand, thirteen".