209893 has 4 divisors (see below), whose sum is σ = 220960. Its totient is φ = 198828.

The previous prime is 209887. The next prime is 209917. The reversal of 209893 is 398902.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 209893 - 2⁵ = 209861 is a prime.

It is a super-3 number, since 3×209893³ = 27740553334934871, which contains 333 as substring.

It is a d-powerful number, because it can be written as 2¹⁷ + 0 + 8 + 9² + 9⁵ + 3⁹ .

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5505 + ... + 5542.

It is an arithmetic number, because the mean of its divisors is an integer number (55240).

2²⁰⁹⁸⁹³ is an apocalyptic number.

It is an amenable number.

209893 is a deficient number, since it is larger than the sum of its proper divisors (11067).

209893 is a wasteful number, since it uses less digits than its factorization.

209893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11066.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 209893 is about 458.1408080492. The cubic root of 209893 is about 59.4291225800.

The spelling of 209893 in words is "two hundred nine thousand, eight hundred ninety-three".