4845 has 16 divisors (see below), whose sum is σ = 8640. Its totient is φ = 2304.

The previous prime is 4831. The next prime is 4861. The reversal of 4845 is 5484.

4845 = T₂₆ + T₂₇ + ... + T₃₅.

4845 = 6² + 7² + ... + 24².

4845 is nontrivially palindromic in base 14.

4845 is a nontrivial binomial coefficient, being equal to C(20, 4).

It is not a de Polignac number, because 4845 - 2⁵ = 4813 is a prime.

It is a plaindrome in base 8 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246 + ... + 264.

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

2⁴⁸⁴⁵ is an apocalyptic number.

4845 is the 57-th pentagonal number.

It is an amenable number.

4845 is a deficient number, since it is larger than the sum of its proper divisors (3795).

4845 is a wasteful number, since it uses less digits than its factorization.

4845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44.

The product of its digits is 640, while the sum is 21.

The square root of 4845 is about 69.6060342212. The cubic root of 4845 is about 16.9212039673.

The spelling of 4845 in words is "four thousand, eight hundred forty-five".