4782 has 8 divisors (see below), whose sum is σ = 9576. Its totient is φ = 1592.

The previous prime is 4759. The next prime is 4783. The reversal of 4782 is 2874.

4782 = T₂₈ + T₂₉ + ... + T₃₆.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

4782 is an admirable number.

It is a plaindrome in base 8, base 13 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4782.

It is not an unprimeable number, because it can be changed into a prime (4783) by changing a digit.

4782 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393 + ... + 404.

It is an arithmetic number, because the mean of its divisors is an integer number (1197).

2⁴⁷⁸² is an apocalyptic number.

4782 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788).

4782 is a wasteful number, since it uses less digits than its factorization.

4782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802.

The product of its digits is 448, while the sum is 21.

The square root of 4782 is about 69.1520064785. The cubic root of 4782 is about 16.8475410771.

Subtracting from 4782 its sum of digits (21), we obtain a square (4761 = 69²).

Subtracting from 4782 its product of digits (448), we obtain a palindrome (4334).

The spelling of 4782 in words is "four thousand, seven hundred eighty-two".