822000961 has 6 divisors (see below), whose sum is σ = 823661570. Its totient is φ = 820343328.

The previous prime is 822000919. The next prime is 822000997. The reversal of 822000961 is 169000228.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 601181361 + 220819600 = 24519^2 + 14860^2 .

It is not a de Polignac number, because 822000961 - 2⁷ = 822000833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (822006961) 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 5 ways as a sum of consecutive naturals, for example, 551305 + ... + 552793.

It is a 495-hyperperfect number.

Almost surely, 2^822000961 is an apocalyptic number.

It is an amenable number.

822000961 is a deficient number, since it is larger than the sum of its proper divisors (1660609).

822000961 is an frugal number, since it uses more digits than its factorization.

822000961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 822000961 is about 28670.5591330201. The cubic root of 822000961 is about 936.7508771413.

The spelling of 822000961 in words is "eight hundred twenty-two million, nine hundred sixty-one", and thus it is an aban number.