208406313 has 12 divisors (see below), whose sum is σ = 305156020. Its totient is φ = 137033856.

The previous prime is 208406287. The next prime is 208406333. The reversal of 208406313 is 313604802.

It is a happy number.

208406313 is a `hidden beast` number, since 20 + 8 + 4 + 0 + 631 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106254864 + 102151449 = 10308^2 + 10107^2 .

It is not a de Polignac number, because 208406313 - 2⁸ = 208406057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (208406333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157948 + ... + 159261.

Almost surely, 2^208406313 is an apocalyptic number.

It is an amenable number.

208406313 is a deficient number, since it is larger than the sum of its proper divisors (96749707).

208406313 is a wasteful number, since it uses less digits than its factorization.

208406313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317288 (or 317285 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 208406313 is about 14436.2845981922. The cubic root of 208406313 is about 592.8847642372.

The spelling of 208406313 in words is "two hundred eight million, four hundred six thousand, three hundred thirteen".