223249 has 6 divisors (see below), whose sum is σ = 241926. Its totient is φ = 205920.

The previous prime is 223247. The next prime is 223253. The reversal of 223249 is 942322.

It can be written as a sum of positive squares in 3 ways, for example, as 14400 + 208849 = 120^2 + 457^2 .

It is not a de Polignac number, because 223249 - 2¹ = 223247 is a prime.

It is a super-3 number, since 3×223249³ = 33380268171321747, which contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 492 + ... + 829.

It is an arithmetic number, because the mean of its divisors is an integer number (40321).

2²²³²⁴⁹ is an apocalyptic number.

It is an amenable number.

223249 is a deficient number, since it is larger than the sum of its proper divisors (18677).

223249 is a wasteful number, since it uses less digits than its factorization.

223249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1334 counting only the distinct ones).

The product of its digits is 864, while the sum is 22.

The square root of 223249 is about 472.4923279800. The cubic root of 223249 is about 60.6638320671.

The spelling of 223249 in words is "two hundred twenty-three thousand, two hundred forty-nine".