223209 has 16 divisors (see below), whose sum is σ = 378240. Its totient is φ = 127440.

The previous prime is 223207. The next prime is 223211. The reversal of 223209 is 902322.

223209 = 7² + 8² + ... + 87².

It is an interprime number because it is at equal distance from previous prime (223207) and next prime (223211).

It is not a de Polignac number, because 223209 - 2¹ = 223207 is a prime.

It is a super-3 number, since 3×223209³ = 33362328944154987, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223191 and 223200.

It is not an unprimeable number, because it can be changed into a prime (223207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402 + ... + 779.

It is an arithmetic number, because the mean of its divisors is an integer number (23640).

2²²³²⁰⁹ is an apocalyptic number.

It is an amenable number.

223209 is a deficient number, since it is larger than the sum of its proper divisors (155031).

223209 is a wasteful number, since it uses less digits than its factorization.

223209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 223209 is about 472.4499973542. The cubic root of 223209 is about 60.6602087613.

The spelling of 223209 in words is "two hundred twenty-three thousand, two hundred nine".