223129 has 2 divisors, whose sum is σ = 223130. Its totient is φ = 223128.

The previous prime is 223103. The next prime is 223133. The reversal of 223129 is 921322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123904 + 99225 = 352^2 + 315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-223129 is a prime.

It is a super-3 number, since 3×223129³ = 33326469773927067, which contains 333 as substring.

It is a Chen prime.

It is a plaindrome in base 16.

It is not a weakly prime, because it can be changed into another prime (223229) 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 as a sum of consecutive naturals, namely, 111564 + 111565.

It is an arithmetic number, because the mean of its divisors is an integer number (111565).

2²²³¹²⁹ is an apocalyptic number.

It is an amenable number.

223129 is a deficient number, since it is larger than the sum of its proper divisors (1).

223129 is an equidigital number, since it uses as much as digits as its factorization.

223129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 223129 is about 472.3653247223. The cubic root of 223129 is about 60.6529608507.

The spelling of 223129 in words is "two hundred twenty-three thousand, one hundred twenty-nine".