223253 has 2 divisors, whose sum is σ = 223254. Its totient is φ = 223252.

The previous prime is 223247. The next prime is 223259. The reversal of 223253 is 352322.

It is a balanced prime because it is at equal distance from previous prime (223247) and next prime (223259).

It can be written as a sum of positive squares in only one way, i.e., 195364 + 27889 = 442^2 + 167^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-223253 is a prime.

It is a super-3 number, since 3×223253³ = 33382062447645831, which contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111626 + 111627.

It is an arithmetic number, because the mean of its divisors is an integer number (111627).

2²²³²⁵³ is an apocalyptic number.

It is an amenable number.

223253 is a deficient number, since it is larger than the sum of its proper divisors (1).

223253 is an equidigital number, since it uses as much as digits as its factorization.

223253 is an evil number, because the sum of its binary digits is even.

The product of its digits is 360, while the sum is 17.

The square root of 223253 is about 472.4965608340. The cubic root of 223253 is about 60.6641943739.

Adding to 223253 its reverse (352322), we get a palindrome (575575).

The spelling of 223253 in words is "two hundred twenty-three thousand, two hundred fifty-three".