8313984 has 96 divisors (see below), whose sum is σ = 27368640. Its totient is φ = 2373120.

The previous prime is 8313979. The next prime is 8313989. The reversal of 8313984 is 4893138.

It is an interprime number because it is at equal distance from previous prime (8313979) and next prime (8313989).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (8313989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7549 + ... + 8579.

It is an arithmetic number, because the mean of its divisors is an integer number (285090).

Almost surely, 2^8313984 is an apocalyptic number.

8313984 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 8313984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684320).

8313984 is an abundant number, since it is smaller than the sum of its proper divisors (19054656).

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

8313984 is a wasteful number, since it uses less digits than its factorization.

8313984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 8313984 is about 2883.3979954214. The cubic root of 8313984 is about 202.5830295088.

The spelling of 8313984 in words is "eight million, three hundred thirteen thousand, nine hundred eighty-four".