8214561 has 16 divisors (see below), whose sum is σ = 12217600. Its totient is φ = 5454864.

The previous prime is 8214541. The next prime is 8214571. The reversal of 8214561 is 1654128.

It is not a de Polignac number, because 8214561 - 2⁵ = 8214529 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8214541) 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 15 ways as a sum of consecutive naturals, for example, 9495 + ... + 10323.

It is an arithmetic number, because the mean of its divisors is an integer number (763600).

Almost surely, 2^8214561 is an apocalyptic number.

It is an amenable number.

8214561 is a deficient number, since it is larger than the sum of its proper divisors (4003039).

8214561 is a wasteful number, since it uses less digits than its factorization.

8214561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1199 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8214561 is about 2866.1055458584. The cubic root of 8214561 is about 201.7722574634.

Adding to 8214561 its reverse (1654128), we get a palindrome (9868689).

The spelling of 8214561 in words is "eight million, two hundred fourteen thousand, five hundred sixty-one".