821792106 has 24 divisors (see below), whose sum is σ = 1782012960. Its totient is φ = 273705576.

The previous prime is 821792063. The next prime is 821792107. The reversal of 821792106 is 601297128.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (821792107) 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 11 ways as a sum of consecutive naturals, for example, 4531 + ... + 40793.

It is an arithmetic number, because the mean of its divisors is an integer number (74250540).

Almost surely, 2^821792106 is an apocalyptic number.

821792106 is an abundant number, since it is smaller than the sum of its proper divisors (960220854).

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

821792106 is a wasteful number, since it uses less digits than its factorization.

821792106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37530 (or 37527 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 821792106 is about 28666.9165764301. The cubic root of 821792106 is about 936.6715334884.

The spelling of 821792106 in words is "eight hundred twenty-one million, seven hundred ninety-two thousand, one hundred six".