312971273 has 2 divisors, whose sum is σ = 312971274. Its totient is φ = 312971272.

The previous prime is 312971251. The next prime is 312971279. The reversal of 312971273 is 372179213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213510544 + 99460729 = 14612^2 + 9973^2 .

It is a cyclic number.

It is not a de Polignac number, because 312971273 - 2¹⁰ = 312970249 is a prime.

It is not a weakly prime, because it can be changed into another prime (312971279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156485636 + 156485637.

It is an arithmetic number, because the mean of its divisors is an integer number (156485637).

Almost surely, 2^312971273 is an apocalyptic number.

It is an amenable number.

312971273 is a deficient number, since it is larger than the sum of its proper divisors (1).

312971273 is an equidigital number, since it uses as much as digits as its factorization.

312971273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 35.

The square root of 312971273 is about 17690.9941213036. The cubic root of 312971273 is about 678.9453612722.

The spelling of 312971273 in words is "three hundred twelve million, nine hundred seventy-one thousand, two hundred seventy-three".