4048193 has 8 divisors (see below), whose sum is σ = 4368168. Its totient is φ = 3737344.

The previous prime is 4048189. The next prime is 4048199. The reversal of 4048193 is 3918404.

4048193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 1117249 = 1712^2 + 1057^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4048193 - 2² = 4048189 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4048199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1346 + ... + 3147.

It is an arithmetic number, because the mean of its divisors is an integer number (546021).

Almost surely, 2^4048193 is an apocalyptic number.

It is an amenable number.

4048193 is a deficient number, since it is larger than the sum of its proper divisors (319975).

4048193 is a wasteful number, since it uses less digits than its factorization.

4048193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4563.

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4048193 is about 2012.0121769015. The cubic root of 4048193 is about 159.3750753812.

The spelling of 4048193 in words is "four million, forty-eight thousand, one hundred ninety-three".