8004561 has 8 divisors (see below), whose sum is σ = 10687584. Its totient is φ = 5328960.

The previous prime is 8004559. The next prime is 8004583. The reversal of 8004561 is 1654008.

8004561 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8004561 - 2¹ = 8004559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8004511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1566 + ... + 4296.

It is an arithmetic number, because the mean of its divisors is an integer number (1335948).

Almost surely, 2^8004561 is an apocalyptic number.

It is an amenable number.

8004561 is a deficient number, since it is larger than the sum of its proper divisors (2683023).

8004561 is a wasteful number, since it uses less digits than its factorization.

8004561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 8004561 is about 2829.2332883663. The cubic root of 8004561 is about 200.0380011125.

Adding to 8004561 its reverse (1654008), we get a palindrome (9658569).

The spelling of 8004561 in words is "eight million, four thousand, five hundred sixty-one".