4971008 has 80 divisors (see below), whose sum is σ = 12112320. Its totient is φ = 1990656.

The previous prime is 4971007. The next prime is 4971017. The reversal of 4971008 is 8001794.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4971007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68060 + ... + 68132.

It is an arithmetic number, because the mean of its divisors is an integer number (151404).

Almost surely, 2^4971008 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 4971008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056160).

4971008 is an abundant number, since it is smaller than the sum of its proper divisors (7141312).

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

4971008 is an equidigital number, since it uses as much as digits as its factorization.

4971008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 4971008 is about 2229.5757443962. The cubic root of 4971008 is about 170.6664496525. Note that the first 3 decimals are identical.

The spelling of 4971008 in words is "four million, nine hundred seventy-one thousand, eight".