84565 has 8 divisors (see below), whose sum is σ = 109368. Its totient is φ = 62400.

The previous prime is 84559. The next prime is 84589. The reversal of 84565 is 56548.

It can be written as a sum of positive squares in 4 ways, for example, as 5041 + 79524 = 71^2 + 282^2 .

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

It is not a de Polignac number, because 84565 - 2⁵ = 84533 is a prime.

It is a fibodiv number, since the Fibonacci-like sequence with seeds 845 and 65 contains 84565 itself.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586 + ... + 715.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2⁸⁴⁵⁶⁵ is an apocalyptic number.

It is an amenable number.

84565 is a deficient number, since it is larger than the sum of its proper divisors (24803).

84565 is a wasteful number, since it uses less digits than its factorization.

84565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319.

The product of its digits is 4800, while the sum is 28.

The square root of 84565 is about 290.8006189815. The cubic root of 84565 is about 43.8931636658.

The spelling of 84565 in words is "eighty-four thousand, five hundred sixty-five".