312653106 has 24 divisors (see below), whose sum is σ = 677742780. Its totient is φ = 104167296.

The previous prime is 312653083. The next prime is 312653141. The reversal of 312653106 is 601356213.

312653106 is a `hidden beast` number, since 3 + 1 + 2 + 653 + 1 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217415025 + 95238081 = 14745^2 + 9759^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312653106.

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 11 ways as a sum of consecutive naturals, for example, 63750 + ... + 68478.

Almost surely, 2^312653106 is an apocalyptic number.

312653106 is an abundant number, since it is smaller than the sum of its proper divisors (365089674).

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

312653106 is a wasteful number, since it uses less digits than its factorization.

312653106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 312653106 is about 17681.9994910078. Note that the first 3 decimals coincide. The cubic root of 312653106 is about 678.7152110208.

The spelling of 312653106 in words is "three hundred twelve million, six hundred fifty-three thousand, one hundred six".