208457 has 2 divisors, whose sum is σ = 208458. Its totient is φ = 208456.

The previous prime is 208441. The next prime is 208459. The reversal of 208457 is 754802.

208457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141376 + 67081 = 376^2 + 259^2 .

It is a cyclic number.

It is not a de Polignac number, because 208457 - 2⁴ = 208441 is a prime.

Together with 208459, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p₁₈₆₇₄ and since 208457 and 18674 have the same sum of digits, it is a Honaker prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208457.

It is not a weakly prime, because it can be changed into another prime (208459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104228 + 104229.

It is an arithmetic number, because the mean of its divisors is an integer number (104229).

2²⁰⁸⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

208457 is a deficient number, since it is larger than the sum of its proper divisors (1).

208457 is an equidigital number, since it uses as much as digits as its factorization.

208457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 208457 is about 456.5709145357. The cubic root of 208457 is about 59.2932825984.

The spelling of 208457 in words is "two hundred eight thousand, four hundred fifty-seven".