829134331 has 18 divisors (see below), whose sum is σ = 906616932. Its totient is φ = 758131920.

The previous prime is 829134329. The next prime is 829134377. The reversal of 829134331 is 133431928.

It is not a de Polignac number, because 829134331 - 2¹ = 829134329 is a prime.

It is a super-2 number, since 2×829134331² = 1374927477685635122, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (829134301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 302236 + ... + 304966.

Almost surely, 2^829134331 is an apocalyptic number.

829134331 is a deficient number, since it is larger than the sum of its proper divisors (77482601).

829134331 is a wasteful number, since it uses less digits than its factorization.

829134331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2779 counting only the distinct ones).

The product of its digits is 15552, while the sum is 34.

The square root of 829134331 is about 28794.6927575204. The cubic root of 829134331 is about 939.4528017137.

The spelling of 829134331 in words is "eight hundred twenty-nine million, one hundred thirty-four thousand, three hundred thirty-one".