306225 has 18 divisors (see below), whose sum is σ = 548886. Its totient is φ = 163200.

The previous prime is 306209. The next prime is 306239. The reversal of 306225 is 522603.

Added to its reverse (522603) it gives a triangular number (828828 = T₁₂₈₇).

It can be written as a sum of positive squares in 3 ways, for example, as 1521 + 304704 = 39^2 + 552^2 .

It is not a de Polignac number, because 306225 - 2⁴ = 306209 is a prime.

306225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 306198 and 306207.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 456 + ... + 905.

2³⁰⁶²²⁵ is an apocalyptic number.

It is an amenable number.

306225 is a deficient number, since it is larger than the sum of its proper divisors (242661).

306225 is a wasteful number, since it uses less digits than its factorization.

306225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 306225 is about 553.3760023709. The cubic root of 306225 is about 67.4031532952.

Adding to 306225 its reverse (522603), we get a palindrome (828828).

The spelling of 306225 in words is "three hundred six thousand, two hundred twenty-five".