312147 has 16 divisors (see below), whose sum is σ = 504960. Its totient is φ = 189000.

The previous prime is 312121. The next prime is 312161. The reversal of 312147 is 741213.

It is not a de Polignac number, because 312147 - 2⁶ = 312083 is a prime.

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

312147 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312147.

It is not an unprimeable number, because it can be changed into a prime (312107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (31560).

2³¹²¹⁴⁷ is an apocalyptic number.

312147 is a deficient number, since it is larger than the sum of its proper divisors (192813).

312147 is a wasteful number, since it uses less digits than its factorization.

312147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).

The product of its digits is 168, while the sum is 18.

The square root of 312147 is about 558.7011723632. The cubic root of 312147 is about 67.8348790699.

The spelling of 312147 in words is "three hundred twelve thousand, one hundred forty-seven", and thus it is an iban number.