8000561 has 2 divisors, whose sum is σ = 8000562. Its totient is φ = 8000560.

The previous prime is 8000543. The next prime is 8000579. The reversal of 8000561 is 1650008.

It is a balanced prime because it is at equal distance from previous prime (8000543) and next prime (8000579).

It can be written as a sum of positive squares in only one way, i.e., 5880625 + 2119936 = 2425^2 + 1456^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8000561 is a prime.

It is not a weakly prime, because it can be changed into another prime (8000261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000280 + 4000281.

It is an arithmetic number, because the mean of its divisors is an integer number (4000281).

Almost surely, 2^8000561 is an apocalyptic number.

It is an amenable number.

8000561 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000561 is an equidigital number, since it uses as much as digits as its factorization.

8000561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 8000561 is about 2828.5262947337. The cubic root of 8000561 is about 200.0046748907.

Adding to 8000561 its reverse (1650008), we get a palindrome (9650569).

The spelling of 8000561 in words is "eight million, five hundred sixty-one", and thus it is an aban number.