4683312 has 80 divisors (see below), whose sum is σ = 13853280. Its totient is φ = 1513728.

The previous prime is 4683293. The next prime is 4683317. The reversal of 4683312 is 2133864.

It is a happy number.

It is a super-2 number, since 2×4683312² = 43866822578688, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (4683317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15838 + ... + 16130.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 2^4683312 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 4683312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926640).

4683312 is an abundant number, since it is smaller than the sum of its proper divisors (9169968).

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

4683312 is a wasteful number, since it uses less digits than its factorization.

4683312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 4683312 is about 2164.0961161649. The cubic root of 4683312 is about 167.3083811551.

The spelling of 4683312 in words is "four million, six hundred eighty-three thousand, three hundred twelve".