4785 has 16 divisors (see below), whose sum is σ = 8640. Its totient is φ = 2240.

The previous prime is 4783. The next prime is 4787. The reversal of 4785 is 5874.

It is an interprime number because it is at equal distance from previous prime (4783) and next prime (4787).

It is not a de Polignac number, because 4785 - 2^{1} = 4783 is a prime.

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

4785 is an undulating number in base 12.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (540).

2^{4785} is an apocalyptic number.

It is an amenable number.

4785 is a deficient number, since it is larger than the sum of its proper divisors (3855).

4785 is a wasteful number, since it uses less digits than its factorization.

4785 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48.

The product of its digits is 1120, while the sum is 24.

The square root of 4785 is about 69.1736944221. The cubic root of 4785 is about 16.8510634567.

Subtracting from 4785 its sum of digits (24), we obtain a square (4761 = 69^{2}).

Subtracting 4785 from its reverse (5874), we obtain a square (1089 = 33^{2}).

The spelling of 4785 in words is "four thousand, seven hundred eighty-five".

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