314514321 has 16 divisors (see below), whose sum is σ = 468635328. Its totient is φ = 185964800.

The previous prime is 314514301. The next prime is 314514323. The reversal of 314514321 is 123415413.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 314514321 - 2⁶ = 314514257 is a prime.

It is a super-3 number, since 3×314514321³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 314514291 and 314514300.

It is not an unprimeable number, because it can be changed into a prime (314514323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114876 + ... + 117581.

It is an arithmetic number, because the mean of its divisors is an integer number (29289708).

Almost surely, 2^314514321 is an apocalyptic number.

It is an amenable number.

314514321 is a deficient number, since it is larger than the sum of its proper divisors (154121007).

314514321 is a wasteful number, since it uses less digits than its factorization.

314514321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232512.

The product of its digits is 1440, while the sum is 24.

The square root of 314514321 is about 17734.5516154201. The cubic root of 314514321 is about 680.0593381033.

Adding to 314514321 its reverse (123415413), we get a palindrome (437929734).

The spelling of 314514321 in words is "three hundred fourteen million, five hundred fourteen thousand, three hundred twenty-one".