312116166 has 40 divisors (see below), whose sum is σ = 700520304. Its totient is φ = 103867920.

The previous prime is 312116137. The next prime is 312116191. The reversal of 312116166 is 661611213.

312116166 is a `hidden beast` number, since 31 + 2 + 11 + 616 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132156 + ... + 134496.

Almost surely, 2^312116166 is an apocalyptic number.

312116166 is an abundant number, since it is smaller than the sum of its proper divisors (388404138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312116166 is a wasteful number, since it uses less digits than its factorization.

312116166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3169 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 312116166 is about 17666.8097289805. The cubic root of 312116166 is about 678.3264541128.

Adding to 312116166 its reverse (661611213), we get a palindrome (973727379).

The spelling of 312116166 in words is "three hundred twelve million, one hundred sixteen thousand, one hundred sixty-six".