8221727507 has 16 divisors (see below), whose sum is σ = 9436807872. Its totient is φ = 7016855040.

The previous prime is 8221727497. The next prime is 8221727551. The reversal of 8221727507 is 7057271228.

It is a cyclic number.

It is not a de Polignac number, because 8221727507 - 2¹⁶ = 8221661971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8221727587) 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, 1664213 + ... + 1669145.

It is an arithmetic number, because the mean of its divisors is an integer number (589800492).

Almost surely, 2^8221727507 is an apocalyptic number.

8221727507 is a deficient number, since it is larger than the sum of its proper divisors (1215080365).

8221727507 is a wasteful number, since it uses less digits than its factorization.

8221727507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918.

The product of its (nonzero) digits is 109760, while the sum is 41.

The square root of 8221727507 is about 90673.7421032131. The cubic root of 8221727507 is about 2018.3091679591.

The spelling of 8221727507 in words is "eight billion, two hundred twenty-one million, seven hundred twenty-seven thousand, five hundred seven".