820829469 has 16 divisors (see below), whose sum is σ = 1154700800. Its totient is φ = 517221936.

The previous prime is 820829329. The next prime is 820829519. The reversal of 820829469 is 964928028.

It is not a de Polignac number, because 820829469 - 2⁸ = 820829213 is a prime.

It is a super-2 number, since 2×820829469² = 1347522034357643922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820829069) 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 15 ways as a sum of consecutive naturals, for example, 8622 + ... + 41424.

It is an arithmetic number, because the mean of its divisors is an integer number (72168800).

Almost surely, 2^820829469 is an apocalyptic number.

It is an amenable number.

820829469 is a deficient number, since it is larger than the sum of its proper divisors (333871331).

820829469 is a wasteful number, since it uses less digits than its factorization.

820829469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33264.

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 820829469 is about 28650.1216227785. The cubic root of 820829469 is about 936.3056554812.

The spelling of 820829469 in words is "eight hundred twenty million, eight hundred twenty-nine thousand, four hundred sixty-nine".