8461791 has 24 divisors (see below), whose sum is σ = 13593216. Its totient is φ = 5037120.

The previous prime is 8461787. The next prime is 8461793. The reversal of 8461791 is 1971648.

It is not a de Polignac number, because 8461791 - 2² = 8461787 is a prime.

8461791 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8461793) 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 23 ways as a sum of consecutive naturals, for example, 2461 + ... + 4793.

It is an arithmetic number, because the mean of its divisors is an integer number (566384).

Almost surely, 2^8461791 is an apocalyptic number.

8461791 is a deficient number, since it is larger than the sum of its proper divisors (5131425).

8461791 is a wasteful number, since it uses less digits than its factorization.

8461791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2380 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 8461791 is about 2908.9157773989. The cubic root of 8461791 is about 203.7764997462.

The spelling of 8461791 in words is "eight million, four hundred sixty-one thousand, seven hundred ninety-one".