4048767 has 12 divisors (see below), whose sum is σ = 6156280. Its totient is φ = 2557008.

The previous prime is 4048747. The next prime is 4048769. The reversal of 4048767 is 7678404.

It is a happy number.

It is not a de Polignac number, because 4048767 - 2¹¹ = 4046719 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4048769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11668 + ... + 12009.

Almost surely, 2^4048767 is an apocalyptic number.

4048767 is a deficient number, since it is larger than the sum of its proper divisors (2107513).

4048767 is a wasteful number, since it uses less digits than its factorization.

4048767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23702 (or 23699 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 4048767 is about 2012.1548151174. The cubic root of 4048767 is about 159.3826077107.

The spelling of 4048767 in words is "four million, forty-eight thousand, seven hundred sixty-seven".