829105021 has 4 divisors (see below), whose sum is σ = 829262844. Its totient is φ = 828947200.

The previous prime is 829105003. The next prime is 829105031. The reversal of 829105021 is 120501928.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 416608921 + 412496100 = 20411^2 + 20310^2 .

It is a cyclic number.

It is not a de Polignac number, because 829105021 - 2⁷ = 829104893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829105001) 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 in 3 ways as a sum of consecutive naturals, for example, 70750 + ... + 81631.

It is an arithmetic number, because the mean of its divisors is an integer number (207315711).

Almost surely, 2^829105021 is an apocalyptic number.

It is an amenable number.

829105021 is a deficient number, since it is larger than the sum of its proper divisors (157823).

829105021 is a wasteful number, since it uses less digits than its factorization.

829105021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157822.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 829105021 is about 28794.1838050673. The cubic root of 829105021 is about 939.4417316594.

Adding to 829105021 its reverse (120501928), we get a palindrome (949606949).

The spelling of 829105021 in words is "eight hundred twenty-nine million, one hundred five thousand, twenty-one".