4745 has 8 divisors (see below), whose sum is σ = 6216. Its totient is φ = 3456.

The previous prime is 4733. The next prime is 4751. The reversal of 4745 is 5474.

4745 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in 4 ways, for example, as 121 + 4624 = 11^2 + 68^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 4745 - 2⁴ = 4729 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

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, 29 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (777).

2⁴⁷⁴⁵ is an apocalyptic number.

It is an amenable number.

4745 is a deficient number, since it is larger than the sum of its proper divisors (1471).

4745 is a wasteful number, since it uses less digits than its factorization.

4745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91.

The product of its digits is 560, while the sum is 20.

The square root of 4745 is about 68.8839603972. The cubic root of 4745 is about 16.8039767608.

Subtracting 4745 from its reverse (5474), we obtain a 6-th power (729 = 3⁶).

The spelling of 4745 in words is "four thousand, seven hundred forty-five".