4713984 has 160 divisors (see below), whose sum is σ = 15713280. Its totient is φ = 1382400.

The previous prime is 4713983. The next prime is 4713991. The reversal of 4713984 is 4893174.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4713983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152049 + ... + 152079.

It is an arithmetic number, because the mean of its divisors is an integer number (98208).

Almost surely, 2^4713984 is an apocalyptic number.

4713984 is a gapful number since it is divisible by the number (44) 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 4713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7856640).

4713984 is an abundant number, since it is smaller than the sum of its proper divisors (10999296).

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

4713984 is a wasteful number, since it uses less digits than its factorization.

4713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 4713984 is about 2171.1711125565. The cubic root of 4713984 is about 167.6728326676.

The spelling of 4713984 in words is "four million, seven hundred thirteen thousand, nine hundred eighty-four".