7971912 has 128 divisors (see below), whose sum is σ = 25401600. Its totient is φ = 2294784.

The previous prime is 7971911. The next prime is 7971913. The reversal of 7971912 is 2191797.

It is an interprime number because it is at equal distance from previous prime (7971911) and next prime (7971913).

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

It is not an unprimeable number, because it can be changed into a prime (7971911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47653 + ... + 47819.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 2^7971912 is an apocalyptic number.

7971912 is a gapful number since it is divisible by the number (72) 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 7971912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12700800).

7971912 is an abundant number, since it is smaller than the sum of its proper divisors (17429688).

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

7971912 is a wasteful number, since it uses less digits than its factorization.

7971912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 202 counting only the distinct ones).

The product of its digits is 7938, while the sum is 36.

The square root of 7971912 is about 2823.4574549655. The cubic root of 7971912 is about 199.7656588617.

The spelling of 7971912 in words is "seven million, nine hundred seventy-one thousand, nine hundred twelve".