4800113 has 2 divisors, whose sum is σ = 4800114. Its totient is φ = 4800112.

The previous prime is 4800101. The next prime is 4800149. The reversal of 4800113 is 3110084.

It is a happy number.

4800113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4787344 + 12769 = 2188^2 + 113^2 .

It is a cyclic number.

It is not a de Polignac number, because 4800113 - 2⁶ = 4800049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4800091 and 4800100.

It is not a weakly prime, because it can be changed into another prime (4800163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2400056 + 2400057.

It is an arithmetic number, because the mean of its divisors is an integer number (2400057).

Almost surely, 2^4800113 is an apocalyptic number.

It is an amenable number.

4800113 is a deficient number, since it is larger than the sum of its proper divisors (1).

4800113 is an equidigital number, since it uses as much as digits as its factorization.

4800113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 4800113 is about 2190.9160184726. The cubic root of 4800113 is about 168.6878567707.

Adding to 4800113 its reverse (3110084), we get a palindrome (7910197).

It can be divided in two parts, 4800 and 113, that added together give a cube (4913 = 17³).

The spelling of 4800113 in words is "four million, eight hundred thousand, one hundred thirteen".