319444129 has 9 divisors (see below), whose sum is σ = 325878969. Its totient is φ = 313134960.

The previous prime is 319444067. The next prime is 319444157. The reversal of 319444129 is 921444913.

The square root of 319444129 is 17873.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 893025 + 318551104 = 945^2 + 17848^2 .

It is not a de Polignac number, because 319444129 - 2⁷ = 319444001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (319454129) 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 in 8 ways as a sum of consecutive naturals, for example, 1090107 + ... + 1090399.

Almost surely, 2^319444129 is an apocalyptic number.

319444129 is the 17873-rd square number.

319444129 is the 8937-th centered octagonal number.

It is an amenable number.

319444129 is a deficient number, since it is larger than the sum of its proper divisors (6434840).

319444129 is an frugal number, since it uses more digits than its factorization.

319444129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 354 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The cubic root of 319444129 is about 683.5940966055.

The spelling of 319444129 in words is "three hundred nineteen million, four hundred forty-four thousand, one hundred twenty-nine".