4806 has 16 divisors (see below), whose sum is σ = 10800. Its totient is φ = 1584.

The previous prime is 4801. The next prime is 4813. The reversal of 4806 is 6084.

It is a super-3 number, since 3×4806³ = 333021715848, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 9.

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 7 ways as a sum of consecutive naturals, for example, 10 + ... + 98.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

2⁴⁸⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400).

4806 is an abundant number, since it is smaller than the sum of its proper divisors (5994).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4806 is a wasteful number, since it uses less digits than its factorization.

4806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4806 is about 69.3253200497. The cubic root of 4806 is about 16.8756789850.

The spelling of 4806 in words is "four thousand, eight hundred six".