820434171 has 16 divisors (see below), whose sum is σ = 1108997120. Its totient is φ = 539460000.

The previous prime is 820434137. The next prime is 820434187. The reversal of 820434171 is 171434028.

It is not a de Polignac number, because 820434171 - 2⁶ = 820434107 is a prime.

It is a super-2 number, since 2×820434171² = 1346224457888914482, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820434071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67296 + ... + 78546.

It is an arithmetic number, because the mean of its divisors is an integer number (69312320).

Almost surely, 2^820434171 is an apocalyptic number.

820434171 is a deficient number, since it is larger than the sum of its proper divisors (288562949).

820434171 is a wasteful number, since it uses less digits than its factorization.

820434171 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11586.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 820434171 is about 28643.2220778320. Note that the first 3 decimals coincide. The cubic root of 820434171 is about 936.1553282015.

Adding to 820434171 its reverse (171434028), we get a palindrome (991868199).

The spelling of 820434171 in words is "eight hundred twenty million, four hundred thirty-four thousand, one hundred seventy-one".