312161328 has 60 divisors (see below), whose sum is σ = 875451408. Its totient is φ = 103835520.

The previous prime is 312161299. The next prime is 312161329. The reversal of 312161328 is 823161213.

It is a happy number.

312161328 is a `hidden beast` number, since 3 + 1 + 21 + 613 + 28 = 666.

312161328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (312161329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75901 + ... + 79907.

Almost surely, 2^312161328 is an apocalyptic number.

It is an amenable number.

312161328 is an abundant number, since it is smaller than the sum of its proper divisors (563290080).

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

312161328 is a wasteful number, since it uses less digits than its factorization.

312161328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4562 (or 4553 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 312161328 is about 17668.0878422086. The cubic root of 312161328 is about 678.3591696049.

The spelling of 312161328 in words is "three hundred twelve million, one hundred sixty-one thousand, three hundred twenty-eight".