83131641 has 12 divisors (see below), whose sum is σ = 123008340. Its totient is φ = 54069120.

The previous prime is 83131639. The next prime is 83131651. The reversal of 83131641 is 14613138.

83131641 is a `hidden beast` number, since 8 + 3 + 13 + 1 + 641 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30206016 + 52925625 = 5496^2 + 7275^2 .

It is not a de Polignac number, because 83131641 - 2¹ = 83131639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83131651) 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 11 ways as a sum of consecutive naturals, for example, 112276 + ... + 113013.

It is an arithmetic number, because the mean of its divisors is an integer number (10250695).

Almost surely, 2^83131641 is an apocalyptic number.

It is an amenable number.

83131641 is a deficient number, since it is larger than the sum of its proper divisors (39876699).

83131641 is a wasteful number, since it uses less digits than its factorization.

83131641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225336 (or 225333 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 83131641 is about 9117.6554552144. The cubic root of 83131641 is about 436.4375587241.

Adding to 83131641 its reverse (14613138), we get a palindrome (97744779).

The spelling of 83131641 in words is "eighty-three million, one hundred thirty-one thousand, six hundred forty-one".