208393 has 2 divisors, whose sum is σ = 208394. Its totient is φ = 208392.

The previous prime is 208391. The next prime is 208409. The reversal of 208393 is 393802.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190969 + 17424 = 437^2 + 132^2 .

It is a cyclic number.

It is not a de Polignac number, because 208393 - 2¹ = 208391 is a prime.

Together with 208391, it forms a pair of twin primes.

It is the 457-th Hogben number.

208393 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (208391) by changing a digit.

It is a nontrivial repunit in base 456.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104196 + 104197.

It is an arithmetic number, because the mean of its divisors is an integer number (104197).

2²⁰⁸³⁹³ is an apocalyptic number.

It is an amenable number.

208393 is a deficient number, since it is larger than the sum of its proper divisors (1).

208393 is an equidigital number, since it uses as much as digits as its factorization.

208393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 208393 is about 456.5008214669. The cubic root of 208393 is about 59.2872139471.

The spelling of 208393 in words is "two hundred eight thousand, three hundred ninety-three".