4905 has 12 divisors (see below), whose sum is σ = 8580. Its totient is φ = 2592.

The previous prime is 4903. The next prime is 4909. The reversal of 4905 is 5094.

It can be written as a sum of positive squares in 2 ways, for example, as 2601 + 2304 = 51^2 + 48^2 .

It is not a de Polignac number, because 4905 - 2¹ = 4903 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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

It is a Curzon number.

It is a nialpdrome in base 9.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4905.

It is not an unprimeable number, because it can be changed into a prime (4903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 99.

It is an arithmetic number, because the mean of its divisors is an integer number (715).

2⁴⁹⁰⁵ is an apocalyptic number.

4905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4905 is a deficient number, since it is larger than the sum of its proper divisors (3675).

4905 is a wasteful number, since it uses less digits than its factorization.

4905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4905 is about 70.0357051796. The cubic root of 4905 is about 16.9907677668.

Adding to 4905 its reverse (5094), we get a palindrome (9999).

It can be divided in two parts, 4 and 905, that added together give a palindrome (909).

The spelling of 4905 in words is "four thousand, nine hundred five".