224129 has 2 divisors, whose sum is σ = 224130. Its totient is φ = 224128.

The previous prime is 224113. The next prime is 224131. The reversal of 224129 is 921422.

224129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223729 + 400 = 473^2 + 20^2 .

It is a cyclic number.

It is not a de Polignac number, because 224129 - 2⁴ = 224113 is a prime.

Together with 224131, it forms a pair of twin primes.

It is a Chen prime.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 224129.

It is not a weakly prime, because it can be changed into another prime (224149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112064 + 112065.

It is an arithmetic number, because the mean of its divisors is an integer number (112065).

2²²⁴¹²⁹ is an apocalyptic number.

It is an amenable number.

224129 is a deficient number, since it is larger than the sum of its proper divisors (1).

224129 is an equidigital number, since it uses as much as digits as its factorization.

224129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 20.

The square root of 224129 is about 473.4226441564. The cubic root of 224129 is about 60.7434355329.

It can be divided in two parts, 224 and 129, that added together give a palindrome (353).

The spelling of 224129 in words is "two hundred twenty-four thousand, one hundred twenty-nine".