3845 has 4 divisors (see below), whose sum is σ = 4620. Its totient is φ = 3072.

The previous prime is 3833. The next prime is 3847. The reversal of 3845 is 5483.

3845 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 62^{2}+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 1444 + 2401 = 38^2 + 49^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-3845 is a prime.

It is a Curzon number.

It is a plaindrome in base 13 and base 14.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 380 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (1155).

It is an amenable number.

3845 is a deficient number, since it is larger than the sum of its proper divisors (775).

3845 is an equidigital number, since it uses as much as digits as its factorization.

3845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774.

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

The square root of 3845 is about 62.0080639917. The cubic root of 3845 is about 15.6662642621. Note that the first 3 decimals are identical.

It can be divided in two parts, 3 and 845, that added together give a palindrome (848).

The spelling of 3845 in words is "three thousand, eight hundred forty-five".

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