829729441 has 2 divisors, whose sum is σ = 829729442. Its totient is φ = 829729440.

The previous prime is 829729361. The next prime is 829729471. The reversal of 829729441 is 144927928.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 785120400 + 44609041 = 28020^2 + 6679^2 .

It is a cyclic number.

It is not a de Polignac number, because 829729441 - 2²⁹ = 292858529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 829729391 and 829729400.

It is not a weakly prime, because it can be changed into another prime (829729471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414864720 + 414864721.

It is an arithmetic number, because the mean of its divisors is an integer number (414864721).

Almost surely, 2^829729441 is an apocalyptic number.

It is an amenable number.

829729441 is a deficient number, since it is larger than the sum of its proper divisors (1).

829729441 is an equidigital number, since it uses as much as digits as its factorization.

829729441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 290304, while the sum is 46.

The square root of 829729441 is about 28805.0245790556. The cubic root of 829729441 is about 939.6775116029.

The spelling of 829729441 in words is "eight hundred twenty-nine million, seven hundred twenty-nine thousand, four hundred forty-one".