96588641 has 2 divisors, whose sum is σ = 96588642. Its totient is φ = 96588640.

The previous prime is 96588629. The next prime is 96588643. The reversal of 96588641 is 14688569.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54390625 + 42198016 = 7375^2 + 6496^2 .

It is a cyclic number.

It is not a de Polignac number, because 96588641 - 2¹⁸ = 96326497 is a prime.

It is a super-3 number, since 3×96588641³ (a number of 25 digits) contains 333 as substring.

Together with 96588643, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (96588643) by changing a digit.

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

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 48294320 + 48294321.

It is an arithmetic number, because the mean of its divisors is an integer number (48294321).

Almost surely, 2^96588641 is an apocalyptic number.

It is an amenable number.

96588641 is a deficient number, since it is larger than the sum of its proper divisors (1).

96588641 is an equidigital number, since it uses as much as digits as its factorization.

96588641 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 414720, while the sum is 47.

The square root of 96588641 is about 9827.9520247099. The cubic root of 96588641 is about 458.8196597735.

The spelling of 96588641 in words is "ninety-six million, five hundred eighty-eight thousand, six hundred forty-one".