833161338 has 96 divisors (see below), whose sum is σ = 1956240000. Its totient is φ = 255581568.

The previous prime is 833161321. The next prime is 833161379.

833161338 is a `hidden beast` number, since 8 + 3 + 3 + 1 + 613 + 38 = 666.

833161338 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1669413 + ... + 1669911.

It is an arithmetic number, because the mean of its divisors is an integer number (20377500).

Almost surely, 2^833161338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833161338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978120000).

833161338 is an abundant number, since it is smaller than the sum of its proper divisors (1123078662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

833161338 is a wasteful number, since it uses less digits than its factorization.

833161338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 833161338 is about 28864.5342591908. The cubic root of 833161338 is about 940.9712829042.

The spelling of 833161338 in words is "eight hundred thirty-three million, one hundred sixty-one thousand, three hundred thirty-eight".