4712 has 16 divisors (see below), whose sum is σ = 9600. Its totient is φ = 2160.

The previous prime is 4703. The next prime is 4721. The reversal of 4712 is 2174.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4703) and next prime (4721).

Its product of digits (56) is a multiple of the sum of its prime factors (56).

It is a plaindrome in base 12 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 4712.

It is an unprimeable number.

4712 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (600).

2⁴⁷¹² is an apocalyptic number.

It is an amenable number.

4712 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 (4800).

4712 is a wasteful number, since it uses less digits than its factorization.

4712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 52 counting only the distinct ones).

The product of its digits is 56, while the sum is 14.

The square root of 4712 is about 68.6440092069. The cubic root of 4712 is about 16.7649306242.

Subtracting from 4712 its product of digits (56), we obtain a triangular number (4656 = T₉₆).

Adding to 4712 its reverse (2174), we get a palindrome (6886).

The spelling of 4712 in words is "four thousand, seven hundred twelve", and thus it is an iban number.