314514325 has 24 divisors (see below), whose sum is σ = 395543880. Its totient is φ = 248064000.

The previous prime is 314514323. The next prime is 314514329. The reversal of 314514325 is 523415413.

It can be written as a sum of positive squares in 12 ways, for example, as 3944196 + 310570129 = 1986^2 + 17623^2 .

It is not a de Polignac number, because 314514325 - 2¹ = 314514323 is a prime.

It is a super-3 number, since 3×314514325³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314514293 and 314514302.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784125 + ... + 784525.

It is an arithmetic number, because the mean of its divisors is an integer number (16480995).

Almost surely, 2^314514325 is an apocalyptic number.

It is an amenable number.

314514325 is a deficient number, since it is larger than the sum of its proper divisors (81029555).

314514325 is a wasteful number, since it uses less digits than its factorization.

314514325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 772 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 314514325 is about 17734.5517281943. The cubic root of 314514325 is about 680.0593409863.

Adding to 314514325 its reverse (523415413), we get a palindrome (837929738).

The spelling of 314514325 in words is "three hundred fourteen million, five hundred fourteen thousand, three hundred twenty-five".