84561 has 8 divisors (see below), whose sum is σ = 114624. Its totient is φ = 55440.

The previous prime is 84559. The next prime is 84589. The reversal of 84561 is 16548.

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

It is not a de Polignac number, because 84561 - 2¹ = 84559 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (14328).

2⁸⁴⁵⁶¹ is an apocalyptic number.

It is an amenable number.

84561 is a deficient number, since it is larger than the sum of its proper divisors (30063).

84561 is a wasteful number, since it uses less digits than its factorization.

84561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471.

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

The square root of 84561 is about 290.7937413357. The cubic root of 84561 is about 43.8924715930.

The spelling of 84561 in words is "eighty-four thousand, five hundred sixty-one".