829677073 has 2 divisors, whose sum is σ = 829677074. Its totient is φ = 829677072.

The previous prime is 829677071. The next prime is 829677083. The reversal of 829677073 is 370776928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 678706704 + 150970369 = 26052^2 + 12287^2 .

It is a cyclic number.

It is not a de Polignac number, because 829677073 - 2¹ = 829677071 is a prime.

Together with 829677071, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (829677071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414838536 + 414838537.

It is an arithmetic number, because the mean of its divisors is an integer number (414838537).

Almost surely, 2^829677073 is an apocalyptic number.

It is an amenable number.

829677073 is a deficient number, since it is larger than the sum of its proper divisors (1).

829677073 is an equidigital number, since it uses as much as digits as its factorization.

829677073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 889056, while the sum is 49.

The square root of 829677073 is about 28804.1155566353. The cubic root of 829677073 is about 939.6577420793.

The spelling of 829677073 in words is "eight hundred twenty-nine million, six hundred seventy-seven thousand, seventy-three".