312100073 has 2 divisors, whose sum is σ = 312100074. Its totient is φ = 312100072.

The previous prime is 312100067. The next prime is 312100097. The reversal of 312100073 is 370001213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 288558169 + 23541904 = 16987^2 + 4852^2 .

It is a cyclic number.

It is not a de Polignac number, because 312100073 - 2⁸ = 312099817 is a prime.

It is not a weakly prime, because it can be changed into another prime (312100013) 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, 156050036 + 156050037.

It is an arithmetic number, because the mean of its divisors is an integer number (156050037).

Almost surely, 2^312100073 is an apocalyptic number.

It is an amenable number.

312100073 is a deficient number, since it is larger than the sum of its proper divisors (1).

312100073 is an equidigital number, since it uses as much as digits as its factorization.

312100073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 312100073 is about 17666.3542645335. The cubic root of 312100073 is about 678.3147955313.

Adding to 312100073 its reverse (370001213), we get a palindrome (682101286).

The spelling of 312100073 in words is "three hundred twelve million, one hundred thousand, seventy-three".