314121361 has 8 divisors (see below), whose sum is σ = 317538920. Its totient is φ = 310722048.

The previous prime is 314121349. The next prime is 314121383. The reversal of 314121361 is 163121413.

It can be written as a sum of positive squares in 4 ways, for example, as 68227600 + 245893761 = 8260^2 + 15681^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314121361 - 2⁵ = 314121329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314121761) 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 in 7 ways as a sum of consecutive naturals, for example, 31585 + ... + 40321.

It is an arithmetic number, because the mean of its divisors is an integer number (39692365).

Almost surely, 2^314121361 is an apocalyptic number.

It is an amenable number.

314121361 is a deficient number, since it is larger than the sum of its proper divisors (3417559).

314121361 is a wasteful number, since it uses less digits than its factorization.

314121361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9123.

The product of its digits is 432, while the sum is 22.

The square root of 314121361 is about 17723.4692145753. The cubic root of 314121361 is about 679.7759938340.

Adding to 314121361 its reverse (163121413), we get a palindrome (477242774).

The spelling of 314121361 in words is "three hundred fourteen million, one hundred twenty-one thousand, three hundred sixty-one".