8048761 has 16 divisors (see below), whose sum is σ = 9827200. Its totient is φ = 6438528.

The previous prime is 8048743. The next prime is 8048779. The reversal of 8048761 is 1678408.

It is a happy number.

8048761 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8048743) and next prime (8048779).

It is a cyclic number.

It is not a de Polignac number, because 8048761 - 2¹¹ = 8046713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8048731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9295 + ... + 10123.

It is an arithmetic number, because the mean of its divisors is an integer number (614200).

Almost surely, 2^8048761 is an apocalyptic number.

It is an amenable number.

8048761 is a deficient number, since it is larger than the sum of its proper divisors (1778439).

8048761 is a wasteful number, since it uses less digits than its factorization.

8048761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 8048761 is about 2837.0338383601. The cubic root of 8048761 is about 200.4055188831.

It can be divided in two parts, 80 and 48761, that added together give a square (48841 = 221²).

The spelling of 8048761 in words is "eight million, forty-eight thousand, seven hundred sixty-one".