4801 has 2 divisors, whose sum is σ = 4802. Its totient is φ = 4800.

The previous prime is 4799. The next prime is 4813. The reversal of 4801 is 1084.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4225 + 576 = 65^2 + 24^2 .

It is a cyclic number.

It is not a de Polignac number, because 4801 - 2¹ = 4799 is a prime.

Together with 4799, it forms a pair of twin primes.

It is a Chen prime.

4801 is a lucky number.

It is a plaindrome in base 7.

It is not a weakly prime, because it can be changed into another prime (4831) 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 as a sum of consecutive naturals, namely, 2400 + 2401.

It is an arithmetic number, because the mean of its divisors is an integer number (2401).

2⁴⁸⁰¹ is an apocalyptic number.

It is an amenable number.

4801 is a deficient number, since it is larger than the sum of its proper divisors (1).

4801 is an equidigital number, since it uses as much as digits as its factorization.

4801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4801 is about 69.2892488053. The cubic root of 4801 is about 16.8698246590.

Adding to 4801 its reverse (1084), we get a palindrome (5885).

The spelling of 4801 in words is "four thousand, eight hundred one".