824672161 has 2 divisors, whose sum is σ = 824672162. Its totient is φ = 824672160.

The previous prime is 824672111. The next prime is 824672197. The reversal of 824672161 is 161276428.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 516880225 + 307791936 = 22735^2 + 17544^2 .

It is a cyclic number.

It is not a de Polignac number, because 824672161 - 2¹³ = 824663969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 824672161.

It is not a weakly prime, because it can be changed into another prime (824672111) 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 as a sum of consecutive naturals, namely, 412336080 + 412336081.

It is an arithmetic number, because the mean of its divisors is an integer number (412336081).

Almost surely, 2^824672161 is an apocalyptic number.

It is an amenable number.

824672161 is a deficient number, since it is larger than the sum of its proper divisors (1).

824672161 is an equidigital number, since it uses as much as digits as its factorization.

824672161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32256, while the sum is 37.

The square root of 824672161 is about 28717.1057211551. The cubic root of 824672161 is about 937.7644782936.

The spelling of 824672161 in words is "eight hundred twenty-four million, six hundred seventy-two thousand, one hundred sixty-one".