820834131 has 16 divisors (see below), whose sum is σ = 1181005056. Its totient is φ = 504112416.

The previous prime is 820834109. The next prime is 820834177. The reversal of 820834131 is 131438028.

It is not a de Polignac number, because 820834131 - 2¹⁵ = 820801363 is a prime.

It is a super-2 number, since 2×820834131² = 1347537341229050322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (820834331) 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, 1305 + ... + 40538.

It is an arithmetic number, because the mean of its divisors is an integer number (73812816).

Almost surely, 2^820834131 is an apocalyptic number.

820834131 is a deficient number, since it is larger than the sum of its proper divisors (360170925).

820834131 is a wasteful number, since it uses less digits than its factorization.

820834131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42362.

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 820834131 is about 28650.2029835741. The cubic root of 820834131 is about 936.3074280981.

The spelling of 820834131 in words is "eight hundred twenty million, eight hundred thirty-four thousand, one hundred thirty-one".