829620073 has 2 divisors, whose sum is σ = 829620074. Its totient is φ = 829620072.

The previous prime is 829620067. The next prime is 829620079. The reversal of 829620073 is 370026928.

It is a balanced prime because it is at equal distance from previous prime (829620067) and next prime (829620079).

It can be written as a sum of positive squares in only one way, i.e., 818417664 + 11202409 = 28608^2 + 3347^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-829620073 is a prime.

It is not a weakly prime, because it can be changed into another prime (829620079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414810036 + 414810037.

It is an arithmetic number, because the mean of its divisors is an integer number (414810037).

Almost surely, 2^829620073 is an apocalyptic number.

It is an amenable number.

829620073 is a deficient number, since it is larger than the sum of its proper divisors (1).

829620073 is an equidigital number, since it uses as much as digits as its factorization.

829620073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 829620073 is about 28803.1260976999. The cubic root of 829620073 is about 939.6362229769.

The spelling of 829620073 in words is "eight hundred twenty-nine million, six hundred twenty thousand, seventy-three".