4805 has 6 divisors (see below), whose sum is σ = 5958. Its totient is φ = 3720.

The previous prime is 4801. The next prime is 4813. The reversal of 4805 is 5084.

4805 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 3844 + 961 = 62^2 + 31^2 .

It is not a de Polignac number, because 4805 - 2² = 4801 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (993).

2⁴⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

4805 is a deficient number, since it is larger than the sum of its proper divisors (1153).

4805 is an equidigital number, since it uses as much as digits as its factorization.

4805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 4805 is about 69.3181073025. The cubic root of 4805 is about 16.8745084448.

Adding to 4805 its reverse (5084), we get a palindrome (9889).

The spelling of 4805 in words is "four thousand, eight hundred five".