829761241 has 2 divisors, whose sum is σ = 829761242. Its totient is φ = 829761240.

The previous prime is 829761227. The next prime is 829761259. The reversal of 829761241 is 142167928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 759553600 + 70207641 = 27560^2 + 8379^2 .

It is a cyclic number.

It is not a de Polignac number, because 829761241 - 2¹⁹ = 829236953 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829761194 and 829761203.

It is not a weakly prime, because it can be changed into another prime (829761941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414880620 + 414880621.

It is an arithmetic number, because the mean of its divisors is an integer number (414880621).

Almost surely, 2^829761241 is an apocalyptic number.

It is an amenable number.

829761241 is a deficient number, since it is larger than the sum of its proper divisors (1).

829761241 is an equidigital number, since it uses as much as digits as its factorization.

829761241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48384, while the sum is 40.

The square root of 829761241 is about 28805.5765607981. The cubic root of 829761241 is about 939.6895160635.

The spelling of 829761241 in words is "eight hundred twenty-nine million, seven hundred sixty-one thousand, two hundred forty-one".