312973033 has 2 divisors, whose sum is σ = 312973034. Its totient is φ = 312973032.

The previous prime is 312973021. The next prime is 312973051. The reversal of 312973033 is 330379213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 242362624 + 70610409 = 15568^2 + 8403^2 .

It is an emirp because it is prime and its reverse (330379213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312973033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312972986 and 312973004.

It is not a weakly prime, because it can be changed into another prime (312973093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156486516 + 156486517.

It is an arithmetic number, because the mean of its divisors is an integer number (156486517).

Almost surely, 2^312973033 is an apocalyptic number.

It is an amenable number.

312973033 is a deficient number, since it is larger than the sum of its proper divisors (1).

312973033 is an equidigital number, since it uses as much as digits as its factorization.

312973033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 312973033 is about 17691.0438640573. The cubic root of 312973033 is about 678.9466339573.

The spelling of 312973033 in words is "three hundred twelve million, nine hundred seventy-three thousand, thirty-three".