827329005 has 32 divisors (see below), whose sum is σ = 1485993600. Its totient is φ = 436686336.

The previous prime is 827328949. The next prime is 827329033. The reversal of 827329005 is 500923728.

It is a happy number.

It is not a de Polignac number, because 827329005 - 2⁶ = 827328941 is a prime.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 18495 + ... + 44684.

It is an arithmetic number, because the mean of its divisors is an integer number (46437300).

Almost surely, 2^827329005 is an apocalyptic number.

It is an amenable number.

827329005 is a deficient number, since it is larger than the sum of its proper divisors (658664595).

827329005 is a wasteful number, since it uses less digits than its factorization.

827329005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63290 (or 63284 counting only the distinct ones).

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

The square root of 827329005 is about 28763.3274326876. The cubic root of 827329005 is about 938.7704631406.

The spelling of 827329005 in words is "eight hundred twenty-seven million, three hundred twenty-nine thousand, five".