208997 has 2 divisors, whose sum is σ = 208998. Its totient is φ = 208996.

The previous prime is 208993. The next prime is 209021. The reversal of 208997 is 799802.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201601 + 7396 = 449^2 + 86^2 .

It is a cyclic number.

It is not a de Polignac number, because 208997 - 2² = 208993 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104498 + 104499.

It is an arithmetic number, because the mean of its divisors is an integer number (104499).

2²⁰⁸⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

208997 is a deficient number, since it is larger than the sum of its proper divisors (1).

208997 is an equidigital number, since it uses as much as digits as its factorization.

208997 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 208997 is about 457.1618969249. The cubic root of 208997 is about 59.3444374566.

The spelling of 208997 in words is "two hundred eight thousand, nine hundred ninety-seven".