829845106 has 32 divisors (see below), whose sum is σ = 1387611648. Its totient is φ = 370191360.

The previous prime is 829845103. The next prime is 829845109. The reversal of 829845106 is 601548928.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (829845103) and next prime (829845109).

It is not an unprimeable number, because it can be changed into a prime (829845101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83671 + ... + 93061.

It is an arithmetic number, because the mean of its divisors is an integer number (43362864).

Almost surely, 2^829845106 is an apocalyptic number.

829845106 is a deficient number, since it is larger than the sum of its proper divisors (557766542).

829845106 is a wasteful number, since it uses less digits than its factorization.

829845106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9546.

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 829845106 is about 28807.0322317312. The cubic root of 829845106 is about 939.7211735261.

The spelling of 829845106 in words is "eight hundred twenty-nine million, eight hundred forty-five thousand, one hundred six".