821051829 has 16 divisors (see below), whose sum is σ = 1309940800. Its totient is φ = 505262448.

The previous prime is 821051827. The next prime is 821051837. The reversal of 821051829 is 928150128.

It is not a de Polignac number, because 821051829 - 2¹ = 821051827 is a prime.

It is a super-2 number, since 2×821051829² = 1348252211808490482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 821051793 and 821051802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821051827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169239 + ... + 1169940.

It is an arithmetic number, because the mean of its divisors is an integer number (81871300).

Almost surely, 2^821051829 is an apocalyptic number.

It is an amenable number.

821051829 is a deficient number, since it is larger than the sum of its proper divisors (488888971).

821051829 is a wasteful number, since it uses less digits than its factorization.

821051829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339201 (or 2339195 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 821051829 is about 28654.0019718014. The cubic root of 821051829 is about 936.3901952207.

The spelling of 821051829 in words is "eight hundred twenty-one million, fifty-one thousand, eight hundred twenty-nine".