312928093 has 2 divisors, whose sum is σ = 312928094. Its totient is φ = 312928092.

The previous prime is 312928051. The next prime is 312928117. The reversal of 312928093 is 390829213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310534884 + 2393209 = 17622^2 + 1547^2 .

It is a cyclic number.

It is not a de Polignac number, because 312928093 - 2¹⁷ = 312797021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312928013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156464046 + 156464047.

It is an arithmetic number, because the mean of its divisors is an integer number (156464047).

Almost surely, 2^312928093 is an apocalyptic number.

It is an amenable number.

312928093 is a deficient number, since it is larger than the sum of its proper divisors (1).

312928093 is an equidigital number, since it uses as much as digits as its factorization.

312928093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 312928093 is about 17689.7736842505. The cubic root of 312928093 is about 678.9141356065.

The spelling of 312928093 in words is "three hundred twelve million, nine hundred twenty-eight thousand, ninety-three".