822140929 has 9 divisors (see below), whose sum is σ = 839497449. Its totient is φ = 805137840.

The previous prime is 822140881. The next prime is 822140933. The reversal of 822140929 is 929041228.

The square root of 822140929 is 28673.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12852225 + 809288704 = 3585^2 + 28448^2 .

It is not a de Polignac number, because 822140929 - 2²³ = 813752321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (822140989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1519399 + ... + 1519939.

Almost surely, 2^822140929 is an apocalyptic number.

822140929 is the 28673-rd square number.

822140929 is the 14337-th centered octagonal number.

It is an amenable number.

822140929 is a deficient number, since it is larger than the sum of its proper divisors (17356520).

822140929 is an frugal number, since it uses more digits than its factorization.

822140929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 822140929 is about 936.8040432209.

Multiplying 822140929 by its product of nonzero digits (20736), we get a square (17047914303744 = 4128912²).

The spelling of 822140929 in words is "eight hundred twenty-two million, one hundred forty thousand, nine hundred twenty-nine".