829327005 has 80 divisors (see below), whose sum is σ = 1625589504. Its totient is φ = 402019200.

The previous prime is 829327003. The next prime is 829327019. The reversal of 829327005 is 500723928.

It is a happy number.

It is not a de Polignac number, because 829327005 - 2¹ = 829327003 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829327003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351580 + ... + 353930.

Almost surely, 2^829327005 is an apocalyptic number.

It is an amenable number.

829327005 is a deficient number, since it is larger than the sum of its proper divisors (796262499).

829327005 is a wasteful number, since it uses less digits than its factorization.

829327005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2448 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 829327005 is about 28798.0382144340. The cubic root of 829327005 is about 939.5255660026.

The spelling of 829327005 in words is "eight hundred twenty-nine million, three hundred twenty-seven thousand, five".