312734313 has 18 divisors (see below), whose sum is σ = 462501546. Its totient is φ = 203630112.

The previous prime is 312734273. The next prime is 312734353. The reversal of 312734313 is 313437213.

312734313 is a `hidden beast` number, since 312 + 7 + 34 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (312734273) and next prime (312734353).

It can be written as a sum of positive squares in only one way, i.e., 289952784 + 22781529 = 17028^2 + 4773^2 .

It is not a de Polignac number, because 312734313 - 2¹² = 312730217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312734353) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7245 + ... + 26037.

Almost surely, 2^312734313 is an apocalyptic number.

It is an amenable number.

312734313 is a deficient number, since it is larger than the sum of its proper divisors (149767233).

312734313 is a wasteful number, since it uses less digits than its factorization.

312734313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18885 (or 18839 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 312734313 is about 17684.2956602744. The cubic root of 312734313 is about 678.7739679987.

The spelling of 312734313 in words is "three hundred twelve million, seven hundred thirty-four thousand, three hundred thirteen".