871961841 has 45 divisors (see below), whose sum is σ = 1390895121. Its totient is φ = 544278528.

The previous prime is 871961833. The next prime is 871961843. The reversal of 871961841 is 148169178.

It is a happy number.

The square root of 871961841 is 29529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 531441 + 871430400 = 729^2 + 29520^2 .

It is not a de Polignac number, because 871961841 - 2³ = 871961833 is a prime.

Its product of digits (96768) is a multiple of the sum of its prime factors (432).

It is not an unprimeable number, because it can be changed into a prime (871961843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4517841 + ... + 4518033.

Almost surely, 2^871961841 is an apocalyptic number.

871961841 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

871961841 is the 29529-th square number.

871961841 is the 14765-th centered octagonal number.

It is an amenable number.

871961841 is a deficient number, since it is larger than the sum of its proper divisors (518933280).

871961841 is an equidigital number, since it uses as much as digits as its factorization.

871961841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 213 counting only the distinct ones).

The product of its digits is 96768, while the sum is 45.

The cubic root of 871961841 is about 955.3573002197.

The spelling of 871961841 in words is "eight hundred seventy-one million, nine hundred sixty-one thousand, eight hundred forty-one".