8106561 has 20 divisors (see below), whose sum is σ = 12410244. Its totient is φ = 5270400.

The previous prime is 8106533. The next prime is 8106583. The reversal of 8106561 is 1656018.

8106561 is a `hidden beast` number, since 8 + 1 + 0 + 656 + 1 = 666.

8106561 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 7535025 = 756^2 + 2745^2 .

It is not a de Polignac number, because 8106561 - 2⁵ = 8106529 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8102561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2101 + ... + 4541.

Almost surely, 2^8106561 is an apocalyptic number.

8106561 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8106561 is a deficient number, since it is larger than the sum of its proper divisors (4303683).

8106561 is a wasteful number, since it uses less digits than its factorization.

8106561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 8106561 is about 2847.2023110415. The cubic root of 8106561 is about 200.8840944597.

The spelling of 8106561 in words is "eight million, one hundred six thousand, five hundred sixty-one".