7971642 has 32 divisors (see below), whose sum is σ = 20246400. Its totient is φ = 2277504.

The previous prime is 7971617. The next prime is 7971643. The reversal of 7971642 is 2461797.

It is a happy number.

7971642 is a `hidden beast` number, since 7 + 9 + 7 + 1 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7971597 and 7971606.

It is not an unprimeable number, because it can be changed into a prime (7971643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10167 + ... + 10922.

It is an arithmetic number, because the mean of its divisors is an integer number (632700).

Almost surely, 2^7971642 is an apocalyptic number.

7971642 is an abundant number, since it is smaller than the sum of its proper divisors (12274758).

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

7971642 is a wasteful number, since it uses less digits than its factorization.

7971642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21107 (or 21101 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 7971642 is about 2823.4096408421. The cubic root of 7971642 is about 199.7634035543.

The spelling of 7971642 in words is "seven million, nine hundred seventy-one thousand, six hundred forty-two".