4802 has 10 divisors (see below), whose sum is σ = 8403. Its totient is φ = 2058.

The previous prime is 4801. The next prime is 4813. The reversal of 4802 is 2084.

4802 divided by its sum of digits (14) gives a palindrome (343).

Adding to 4802 its reverse (2084), we get a palindrome (6886).

4802 = 39^{2} + 40^{2} + 41^{2}.

It can be written as a sum of positive squares in only one way, i.e., 2401 + 2401 = 49^2 + 49^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=49.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Duffinian number.

It is a plaindrome in base 13.

It is a nialpdrome in base 7.

It is a zygodrome in base 13.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 683 + ... + 689.

2^{4802} is an apocalyptic number.

4802 is a deficient number, since it is larger than the sum of its proper divisors (3601).

4802 is an frugal number, since it uses more digits than its factorization.

4802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4802 is about 69.2964645563. The cubic root of 4802 is about 16.8709958492.

The spelling of 4802 in words is "four thousand, eight hundred two".

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