7971761 has 12 divisors (see below), whose sum is σ = 9526068. Its totient is φ = 6646752.

The previous prime is 7971757. The next prime is 7971763. The reversal of 7971761 is 1671797.

It can be written as a sum of positive squares in 2 ways, for example, as 5664400 + 2307361 = 2380^2 + 1519^2 .

It is not a de Polignac number, because 7971761 - 2² = 7971757 is a prime.

It is a super-2 number, since 2×7971761² = 127097946882242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7971763) 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 11 ways as a sum of consecutive naturals, for example, 386 + ... + 4011.

It is an arithmetic number, because the mean of its divisors is an integer number (793839).

Almost surely, 2^7971761 is an apocalyptic number.

It is an amenable number.

7971761 is a deficient number, since it is larger than the sum of its proper divisors (1554307).

7971761 is a wasteful number, since it uses less digits than its factorization.

7971761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4441 counting only the distinct ones).

The product of its digits is 18522, while the sum is 38.

The square root of 7971761 is about 2823.4307145740. The cubic root of 7971761 is about 199.7643975664.

The spelling of 7971761 in words is "seven million, nine hundred seventy-one thousand, seven hundred sixty-one".