3147312 has 160 divisors (see below), whose sum is σ = 10713600. Its totient is φ = 774144.

The previous prime is 3147311. The next prime is 3147323. The reversal of 3147312 is 2137413.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an Ulam number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3147311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108514 + ... + 108542.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

Almost surely, 2^3147312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3147312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356800).

3147312 is an abundant number, since it is smaller than the sum of its proper divisors (7566288).

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

3147312 is a wasteful number, since it uses less digits than its factorization.

3147312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 3147312 is about 1774.0665151003. The cubic root of 3147312 is about 146.5480123901.

It can be divided in two parts, 314 and 7312, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 3147312 in words is "three million, one hundred forty-seven thousand, three hundred twelve".