4385 has 4 divisors (see below), whose sum is σ = 5268. Its totient is φ = 3504.

The previous prime is 4373. The next prime is 4391. The reversal of 4385 is 5834.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5834 = 2 ⋅2917.

It can be written as a sum of positive squares in 2 ways, for example, as 2704 + 1681 = 52^2 + 41^2 .

It is a cyclic number.

It is not a de Polignac number, because 4385 - 2^{8} = 4129 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 434 + ... + 443.

It is an arithmetic number, because the mean of its divisors is an integer number (1317).

2^{4385} is an apocalyptic number.

It is an amenable number.

4385 is a deficient number, since it is larger than the sum of its proper divisors (883).

4385 is an equidigital number, since it uses as much as digits as its factorization.

4385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882.

The product of its digits is 480, while the sum is 20.

The square root of 4385 is about 66.2193325246. The cubic root of 4385 is about 16.3677832737.

It can be divided in two parts, 43 and 85, that multiplied together give a triangular number (3655 = T_{85}).

The spelling of 4385 in words is "four thousand, three hundred eighty-five".

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