312085993 has 2 divisors, whose sum is σ = 312085994. Its totient is φ = 312085992.

The previous prime is 312085979. The next prime is 312086087. The reversal of 312085993 is 399580213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 265136089 + 46949904 = 16283^2 + 6852^2 .

It is a cyclic number.

It is not a de Polignac number, because 312085993 - 2¹⁷ = 311954921 is a prime.

It is not a weakly prime, because it can be changed into another prime (312085903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156042996 + 156042997.

It is an arithmetic number, because the mean of its divisors is an integer number (156042997).

Almost surely, 2^312085993 is an apocalyptic number.

It is an amenable number.

312085993 is a deficient number, since it is larger than the sum of its proper divisors (1).

312085993 is an equidigital number, since it uses as much as digits as its factorization.

312085993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 312085993 is about 17665.9557624262. The cubic root of 312085993 is about 678.3045949400.

The spelling of 312085993 in words is "three hundred twelve million, eighty-five thousand, nine hundred ninety-three".