820126321 has 16 divisors (see below), whose sum is σ = 963970560. Its totient is φ = 683089920.

The previous prime is 820126289. The next prime is 820126337. The reversal of 820126321 is 123621028.

It is a cyclic number.

It is not a de Polignac number, because 820126321 - 2⁵ = 820126289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820126361) 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, 68200 + ... + 79318.

It is an arithmetic number, because the mean of its divisors is an integer number (60248160).

Almost surely, 2^820126321 is an apocalyptic number.

It is an amenable number.

820126321 is a deficient number, since it is larger than the sum of its proper divisors (143844239).

820126321 is a wasteful number, since it uses less digits than its factorization.

820126321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11424.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 820126321 is about 28637.8477019486. The cubic root of 820126321 is about 936.0382229411.

Adding to 820126321 its reverse (123621028), we get a palindrome (943747349).

The spelling of 820126321 in words is "eight hundred twenty million, one hundred twenty-six thousand, three hundred twenty-one".