8461561 has 8 divisors (see below), whose sum is σ = 8613000. Its totient is φ = 8311680.

The previous prime is 8461549. The next prime is 8461571. The reversal of 8461561 is 1651648.

It can be written as a sum of positive squares in 4 ways, for example, as 230400 + 8231161 = 480^2 + 2869^2 .

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 8461561 - 2¹⁵ = 8428793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8461511) 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, 15981 + ... + 16501.

It is an arithmetic number, because the mean of its divisors is an integer number (1076625).

Almost surely, 2^8461561 is an apocalyptic number.

It is an amenable number.

8461561 is a deficient number, since it is larger than the sum of its proper divisors (151439).

8461561 is a wasteful number, since it uses less digits than its factorization.

8461561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its digits is 5760, while the sum is 31.

The square root of 8461561 is about 2908.8762435002. The cubic root of 8461561 is about 203.7746534460.

The spelling of 8461561 in words is "eight million, four hundred sixty-one thousand, five hundred sixty-one".