84744 has 48 divisors (see below), whose sum is σ = 252720. Its totient is φ = 25440.

The previous prime is 84737. The next prime is 84751. The reversal of 84744 is 44748.

It is an interprime number because it is at equal distance from previous prime (84737) and next prime (84751).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 84744.

It is an unprimeable number.

84744 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 739 + ... + 845.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2⁸⁴⁷⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

84744 is an abundant number, since it is smaller than the sum of its proper divisors (167976).

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

84744 is a wasteful number, since it uses less digits than its factorization.

84744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 123 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 84744 is about 291.1082272970. The cubic root of 84744 is about 43.9241116120.

It can be divided in two parts, 84 and 744, that added together give a palindrome (828).

The spelling of 84744 in words is "eighty-four thousand, seven hundred forty-four".