7971444 has 36 divisors (see below), whose sum is σ = 21701316. Its totient is φ = 2452608.

The previous prime is 7971443. The next prime is 7971461. The reversal of 7971444 is 4441797.

It can be written as a sum of positive squares in 2 ways, for example, as 1468944 + 6502500 = 1212^2 + 2550^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 7971399 and 7971408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8049 + ... + 8984.

Almost surely, 2^7971444 is an apocalyptic number.

It is an amenable number.

7971444 is an abundant number, since it is smaller than the sum of its proper divisors (13729872).

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

7971444 is a wasteful number, since it uses less digits than its factorization.

7971444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17056 (or 17051 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 7971444 is about 2823.3745766370. The cubic root of 7971444 is about 199.7617496298.

The spelling of 7971444 in words is "seven million, nine hundred seventy-one thousand, four hundred forty-four".