314317441 has 3 divisors (see below), whose sum is σ = 314335171. Its totient is φ = 314299712.

The previous prime is 314317433. The next prime is 314317447. The reversal of 314317441 is 144713413.

The square root of 314317441 is 17729.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 144713413 = 13 ⋅11131801.

It can be written as a sum of positive squares in only one way, i.e., 211091841 + 103225600 = 14529^2 + 10160^2 .

It is not a de Polignac number, because 314317441 - 2³ = 314317433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314317447) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 8865 + ... + 26593.

Almost surely, 2^314317441 is an apocalyptic number.

314317441 is the 17729-th square number.

314317441 is the 8865-th centered octagonal number.

It is an amenable number.

314317441 is a deficient number, since it is larger than the sum of its proper divisors (17730).

314317441 is an frugal number, since it uses more digits than its factorization.

314317441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35458 (or 17729 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The cubic root of 314317441 is about 679.9174070678.

The spelling of 314317441 in words is "three hundred fourteen million, three hundred seventeen thousand, four hundred forty-one".