208998 has 24 divisors (see below), whose sum is σ = 480168. Its totient is φ = 65472.

The previous prime is 208997. The next prime is 209021. The reversal of 208998 is 899802.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208991) 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, 36 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (20007).

2²⁰⁸⁹⁹⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240084).

208998 is an abundant number, since it is smaller than the sum of its proper divisors (271170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208998 is a wasteful number, since it uses less digits than its factorization.

208998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 208998 is about 457.1629906281. The cubic root of 208998 is about 59.3445321060.

It can be divided in two parts, 2089 and 98, that added together give a 7-th power (2187 = 3⁷).

The spelling of 208998 in words is "two hundred eight thousand, nine hundred ninety-eight".