312642117 has 6 divisors (see below), whose sum is σ = 451594182. Its totient is φ = 208428072.

The previous prime is 312642103. The next prime is 312642163. The reversal of 312642117 is 711246213.

312642117 is a `hidden beast` number, since 3 + 1 + 2 + 642 + 1 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 288524196 + 24117921 = 16986^2 + 4911^2 .

It is not a de Polignac number, because 312642117 - 2⁴ = 312642101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312642217) 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 in 5 ways as a sum of consecutive naturals, for example, 17368998 + ... + 17369015.

It is an arithmetic number, because the mean of its divisors is an integer number (75265697).

Almost surely, 2^312642117 is an apocalyptic number.

It is an amenable number.

312642117 is a deficient number, since it is larger than the sum of its proper divisors (138952065).

312642117 is a wasteful number, since it uses less digits than its factorization.

312642117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34738019 (or 34738016 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 312642117 is about 17681.6887485330. The cubic root of 312642117 is about 678.7072591953.

The spelling of 312642117 in words is "three hundred twelve million, six hundred forty-two thousand, one hundred seventeen".