821004066 has 32 divisors (see below), whose sum is σ = 1832518080. Its totient is φ = 272458368.

The previous prime is 821004061. The next prime is 821004071. The reversal of 821004066 is 660400128.

821004066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (821004061) and next prime (821004071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (821004061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21231 + ... + 45746.

It is an arithmetic number, because the mean of its divisors is an integer number (57266190).

Almost surely, 2^821004066 is an apocalyptic number.

821004066 is an abundant number, since it is smaller than the sum of its proper divisors (1011514014).

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

821004066 is a wasteful number, since it uses less digits than its factorization.

821004066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67215 (or 67209 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 821004066 is about 28653.1685158902. The cubic root of 821004066 is about 936.3720373445.

The spelling of 821004066 in words is "eight hundred twenty-one million, four thousand, sixty-six".