8142321 has 16 divisors (see below), whose sum is σ = 11936448. Its totient is φ = 4896000.

The previous prime is 8142319. The next prime is 8142349. The reversal of 8142321 is 1232418.

It is not a de Polignac number, because 8142321 - 2¹ = 8142319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8142311) 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, 3621 + ... + 5421.

It is an arithmetic number, because the mean of its divisors is an integer number (746028).

Almost surely, 2^8142321 is an apocalyptic number.

It is an amenable number.

8142321 is a deficient number, since it is larger than the sum of its proper divisors (3794127).

8142321 is a wasteful number, since it uses less digits than its factorization.

8142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952.

The product of its digits is 384, while the sum is 21.

The square root of 8142321 is about 2853.4752495860. The cubic root of 8142321 is about 201.1790439515.

Adding to 8142321 its reverse (1232418), we get a palindrome (9374739).

Subtracting from 8142321 its reverse (1232418), we obtain a triangular number (6909903 = T₃₇₁₇).

The spelling of 8142321 in words is "eight million, one hundred forty-two thousand, three hundred twenty-one".