8484 has 24 divisors (see below), whose sum is σ = 22848. Its totient is φ = 2400.

The previous prime is 8467. The next prime is 8501. The reversal of 8484 is 4848.

8484 = T₄₂ + T₄₃ + ... + T₄₉.

It is an interprime number because it is at equal distance from previous prime (8467) and next prime (8501).

8484 is an undulating number in base 10.

It is a plaindrome in base 9.

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, 34 + ... + 134.

It is an arithmetic number, because the mean of its divisors is an integer number (952).

2⁸⁴⁸⁴ is an apocalyptic number.

8484 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424).

8484 is an abundant number, since it is smaller than the sum of its proper divisors (14364).

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

8484 is a wasteful number, since it uses less digits than its factorization.

8484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 8484 is about 92.1086315174. The cubic root of 8484 is about 20.3954622741.

The spelling of 8484 in words is "eight thousand, four hundred eighty-four".