312225073 has 2 divisors, whose sum is σ = 312225074. Its totient is φ = 312225072.

The previous prime is 312225041. The next prime is 312225079. The reversal of 312225073 is 370522213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156175009 + 156050064 = 12497^2 + 12492^2 .

It is an emirp because it is prime and its reverse (370522213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312225073 - 2⁵ = 312225041 is a prime.

It is not a weakly prime, because it can be changed into another prime (312225079) by changing a digit.

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 as a sum of consecutive naturals, namely, 156112536 + 156112537.

It is an arithmetic number, because the mean of its divisors is an integer number (156112537).

Almost surely, 2^312225073 is an apocalyptic number.

It is an amenable number.

312225073 is a deficient number, since it is larger than the sum of its proper divisors (1).

312225073 is an equidigital number, since it uses as much as digits as its factorization.

312225073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 312225073 is about 17669.8917087797. The cubic root of 312225073 is about 678.4053413098.

Adding to 312225073 its reverse (370522213), we get a palindrome (682747286).

The spelling of 312225073 in words is "three hundred twelve million, two hundred twenty-five thousand, seventy-three".