8221851 has 64 divisors (see below), whose sum is σ = 14745600. Its totient is φ = 4471200.

The previous prime is 8221847. The next prime is 8221859. The reversal of 8221851 is 1581228.

8221851 = 248² + 249² + ... + 341².

It is not a de Polignac number, because 8221851 - 2² = 8221847 is a prime.

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

8221851 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221859) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174910 + ... + 174956.

It is an arithmetic number, because the mean of its divisors is an integer number (230400).

Almost surely, 2^8221851 is an apocalyptic number.

8221851 is a deficient number, since it is larger than the sum of its proper divisors (6523749).

8221851 is a wasteful number, since it uses less digits than its factorization.

8221851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 111 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 8221851 is about 2867.3770243901. The cubic root of 8221851 is about 201.8319273127.

The spelling of 8221851 in words is "eight million, two hundred twenty-one thousand, eight hundred fifty-one".