84591 has 16 divisors (see below), whose sum is σ = 135520. Its totient is φ = 51840.

The previous prime is 84589. The next prime is 84629. The reversal of 84591 is 19548.

It is not a de Polignac number, because 84591 - 2¹ = 84589 is a prime.

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

It is a Duffinian number.

84591 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84591.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (8470).

2⁸⁴⁵⁹¹ is an apocalyptic number.

84591 is a deficient number, since it is larger than the sum of its proper divisors (50929).

84591 is a wasteful number, since it uses less digits than its factorization.

84591 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

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

The square root of 84591 is about 290.8453197148. The cubic root of 84591 is about 43.8976616075.

The spelling of 84591 in words is "eighty-four thousand, five hundred ninety-one".