84144 has 20 divisors (see below), whose sum is σ = 217496. Its totient is φ = 28032.

The previous prime is 84143. The next prime is 84163. The reversal of 84144 is 44148.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 84144.

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 84144.

It is not an unprimeable number, because it can be changed into a prime (84143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 829 + ... + 924.

2⁸⁴¹⁴⁴ is an apocalyptic number.

It is an amenable number.

84144 is an abundant number, since it is smaller than the sum of its proper divisors (133352).

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 (108748).

84144 is a wasteful number, since it uses less digits than its factorization.

84144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 84144 is about 290.0758521491. The cubic root of 84144 is about 43.8202029357.

The spelling of 84144 in words is "eighty-four thousand, one hundred forty-four".