4048191 has 16 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 2313144.

The previous prime is 4048189. The next prime is 4048199. The reversal of 4048191 is 1918404.

It is not a de Polignac number, because 4048191 - 2¹ = 4048189 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10521 + ... + 10898.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 2^4048191 is an apocalyptic number.

4048191 is a deficient number, since it is larger than the sum of its proper divisors (2806209).

4048191 is a wasteful number, since it uses less digits than its factorization.

4048191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21435 (or 21429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4048191 is about 2012.0116798866. The cubic root of 4048191 is about 159.3750491349.

The spelling of 4048191 in words is "four million, forty-eight thousand, one hundred ninety-one".