821106807 has 8 divisors (see below), whose sum is σ = 1095000960. Its totient is φ = 547308600.

The previous prime is 821106761. The next prime is 821106829. The reversal of 821106807 is 708601128.

It is a happy number.

821106807 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 821106807 - 2¹⁰ = 821105783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821106857) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 819 + ... + 40532.

It is an arithmetic number, because the mean of its divisors is an integer number (136875120).

Almost surely, 2^821106807 is an apocalyptic number.

821106807 is a deficient number, since it is larger than the sum of its proper divisors (273894153).

821106807 is a wasteful number, since it uses less digits than its factorization.

821106807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47973.

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 821106807 is about 28654.9612981766. The cubic root of 821106807 is about 936.4110951238.

The spelling of 821106807 in words is "eight hundred twenty-one million, one hundred six thousand, eight hundred seven".