7967982 has 64 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 2217600.

The previous prime is 7967963. The next prime is 7967989. The reversal of 7967982 is 2897697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7967989) 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, 43932 + ... + 44112.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^7967982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7967982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

7967982 is an abundant number, since it is smaller than the sum of its proper divisors (10901778).

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

7967982 is a wasteful number, since it uses less digits than its factorization.

7967982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249.

The product of its digits is 381024, while the sum is 48.

The square root of 7967982 is about 2822.7614139349. The cubic root of 7967982 is about 199.7328265841.

It can be divided in two parts, 796 and 7982, that added together give a palindrome (8778).

The spelling of 7967982 in words is "seven million, nine hundred sixty-seven thousand, nine hundred eighty-two".