4746 has 16 divisors (see below), whose sum is σ = 10944. Its totient is φ = 1344.

The previous prime is 4733. The next prime is 4751. The reversal of 4746 is 6474.

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

4746 is an undulating number in base 15.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4746.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 15 + ... + 98.

It is an arithmetic number, because the mean of its divisors is an integer number (684).

2⁴⁷⁴⁶ is an apocalyptic number.

4746 is an abundant number, since it is smaller than the sum of its proper divisors (6198).

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 (5472).

4746 is a wasteful number, since it uses less digits than its factorization.

4746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its digits is 672, while the sum is 21.

The square root of 4746 is about 68.8912185986. The cubic root of 4746 is about 16.8051571469.

Subtracting 4746 from its reverse (6474), we obtain a cube (1728 = 12³).

The spelling of 4746 in words is "four thousand, seven hundred forty-six".