84645 has 40 divisors (see below), whose sum is σ = 174240. Its totient is φ = 38880.

The previous prime is 84631. The next prime is 84649. The reversal of 84645 is 54648.

84645 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 84645 - 2⁴ = 84629 is a prime.

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

84645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84649) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4446 + ... + 4464.

It is an arithmetic number, because the mean of its divisors is an integer number (4356).

2⁸⁴⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

84645 is an abundant number, since it is smaller than the sum of its proper divisors (89595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87120).

84645 is a wasteful number, since it uses less digits than its factorization.

84645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 38 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 84645 is about 290.9381377544. The cubic root of 84645 is about 43.9070005423.

It can be divided in two parts, 84 and 645, that added together give a 6-th power (729 = 3⁶).

The spelling of 84645 in words is "eighty-four thousand, six hundred forty-five".