84006561 has 16 divisors (see below), whose sum is σ = 113954688. Its totient is φ = 55036800.

The previous prime is 84006547. The next prime is 84006583. The reversal of 84006561 is 16560048.

It is not a de Polignac number, because 84006561 - 2⁵ = 84006529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (84006161) 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, 110595 + ... + 111351.

It is an arithmetic number, because the mean of its divisors is an integer number (7122168).

Almost surely, 2^84006561 is an apocalyptic number.

It is an amenable number.

84006561 is a deficient number, since it is larger than the sum of its proper divisors (29948127).

84006561 is a wasteful number, since it uses less digits than its factorization.

84006561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 84006561 is about 9165.5093148172. The cubic root of 84006561 is about 437.9633160828.

The spelling of 84006561 in words is "eighty-four million, six thousand, five hundred sixty-one".