824742661 has 2 divisors, whose sum is σ = 824742662. Its totient is φ = 824742660.

The previous prime is 824742649. The next prime is 824742683. The reversal of 824742661 is 166247428.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 735440161 + 89302500 = 27119^2 + 9450^2 .

It is a cyclic number.

It is not a de Polignac number, because 824742661 - 2¹¹ = 824740613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (824742361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 412371330 + 412371331.

It is an arithmetic number, because the mean of its divisors is an integer number (412371331).

Almost surely, 2^824742661 is an apocalyptic number.

It is an amenable number.

824742661 is a deficient number, since it is larger than the sum of its proper divisors (1).

824742661 is an equidigital number, since it uses as much as digits as its factorization.

824742661 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 40.

The square root of 824742661 is about 28718.3331863115. Note that the first 3 decimals coincide. The cubic root of 824742661 is about 937.7912002303.

The spelling of 824742661 in words is "eight hundred twenty-four million, seven hundred forty-two thousand, six hundred sixty-one".