209963 has 8 divisors (see below), whose sum is σ = 233856. Its totient is φ = 187200.

The previous prime is 209959. The next prime is 209971. The reversal of 209963 is 369902.

209963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 209963 - 2² = 209959 is a prime.

It is a super-2 number, since 2×209963² = 88168922738, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143 + ... + 663.

It is an arithmetic number, because the mean of its divisors is an integer number (29232).

2²⁰⁹⁹⁶³ is an apocalyptic number.

209963 is a deficient number, since it is larger than the sum of its proper divisors (23893).

209963 is a wasteful number, since it uses less digits than its factorization.

209963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 209963 is about 458.2171974075. The cubic root of 209963 is about 59.4357284478.

The spelling of 209963 in words is "two hundred nine thousand, nine hundred sixty-three".