4971312 has 120 divisors (see below), whose sum is σ = 15475200. Its totient is φ = 1482624.

The previous prime is 4971301. The next prime is 4971313. The reversal of 4971312 is 2131794.

Its product of digits (1512) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62889 + ... + 62967.

It is an arithmetic number, because the mean of its divisors is an integer number (128960).

Almost surely, 2^4971312 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 4971312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7737600).

4971312 is an abundant number, since it is smaller than the sum of its proper divisors (10503888).

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

4971312 is a wasteful number, since it uses less digits than its factorization.

4971312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 4971312 is about 2229.6439177591. The cubic root of 4971312 is about 170.6699285943.

The spelling of 4971312 in words is "four million, nine hundred seventy-one thousand, three hundred twelve".