314224129 has 2 divisors, whose sum is σ = 314224130. Its totient is φ = 314224128.

The previous prime is 314224111. The next prime is 314224133. The reversal of 314224129 is 921422413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311451904 + 2772225 = 17648^2 + 1665^2 .

It is a cyclic number.

It is not a de Polignac number, because 314224129 - 2⁹ = 314223617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314224097 and 314224106.

It is not a weakly prime, because it can be changed into another prime (314224189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157112064 + 157112065.

It is an arithmetic number, because the mean of its divisors is an integer number (157112065).

Almost surely, 2^314224129 is an apocalyptic number.

It is an amenable number.

314224129 is a deficient number, since it is larger than the sum of its proper divisors (1).

314224129 is an equidigital number, since it uses as much as digits as its factorization.

314224129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 28.

The square root of 314224129 is about 17726.3681841487. The cubic root of 314224129 is about 679.8501176293.

The spelling of 314224129 in words is "three hundred fourteen million, two hundred twenty-four thousand, one hundred twenty-nine".