312320225 has 24 divisors (see below), whose sum is σ = 445358400. Its totient is φ = 212829120.

The previous prime is 312320201. The next prime is 312320231. The reversal of 312320225 is 522023213.

It is not a de Polignac number, because 312320225 - 2¹⁴ = 312303841 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312320197 and 312320206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23051 + ... + 33999.

It is an arithmetic number, because the mean of its divisors is an integer number (18556600).

Almost surely, 2^312320225 is an apocalyptic number.

312320225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

312320225 is a deficient number, since it is larger than the sum of its proper divisors (133038175).

312320225 is a wasteful number, since it uses less digits than its factorization.

312320225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11129 (or 11124 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 312320225 is about 17672.5839932931. The cubic root of 312320225 is about 678.4742500066.

Adding to 312320225 its reverse (522023213), we get a palindrome (834343438).

The spelling of 312320225 in words is "three hundred twelve million, three hundred twenty thousand, two hundred twenty-five".