312110993 has 2 divisors, whose sum is σ = 312110994. Its totient is φ = 312110992.

The previous prime is 312110977. The next prime is 312111029. The reversal of 312110993 is 399011213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232044289 + 80066704 = 15233^2 + 8948^2 .

It is a cyclic number.

It is not a de Polignac number, because 312110993 - 2⁴ = 312110977 is a prime.

It is equal to p_16872311 and since 312110993 and 16872311 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (312110893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156055496 + 156055497.

It is an arithmetic number, because the mean of its divisors is an integer number (156055497).

Almost surely, 2^312110993 is an apocalyptic number.

It is an amenable number.

312110993 is a deficient number, since it is larger than the sum of its proper divisors (1).

312110993 is an equidigital number, since it uses as much as digits as its factorization.

312110993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The square root of 312110993 is about 17666.6633238991. The cubic root of 312110993 is about 678.3227065742.

The spelling of 312110993 in words is "three hundred twelve million, one hundred ten thousand, nine hundred ninety-three".