314530225 has 9 divisors (see below), whose sum is σ = 390127467. Its totient is φ = 251553240.

The previous prime is 314530219. The next prime is 314530231. The reversal of 314530225 is 522035413.

The square root of 314530225 is 17735.

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

It is an interprime number because it is at equal distance from previous prime (314530219) and next prime (314530231).

It can be written as a sum of positive squares in only one way, i.e., 113230881 + 201299344 = 10641^2 + 14188^2 .

It is not a de Polignac number, because 314530225 - 2⁹ = 314529713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 314530225.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 86902 + ... + 90448.

Almost surely, 2^314530225 is an apocalyptic number.

314530225 is the 17735-th square number.

314530225 is the 8868-th centered octagonal number.

It is an amenable number.

314530225 is a deficient number, since it is larger than the sum of its proper divisors (75597242).

314530225 is an frugal number, since it uses more digits than its factorization.

314530225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The cubic root of 314530225 is about 680.0708007307.

Multiplying 314530225 by its sum of digits (25), we get a square (7863255625 = 88675²).

314530225 divided by its sum of digits (25) gives a square (12581209 = 3547²).

Multiplying 314530225 by its product of nonzero digits (3600), we get a square (1132308810000 = 1064100²).

Adding to 314530225 its reverse (522035413), we get a palindrome (836565638).

The spelling of 314530225 in words is "three hundred fourteen million, five hundred thirty thousand, two hundred twenty-five".