822240901 has 2 divisors, whose sum is σ = 822240902. Its totient is φ = 822240900.

The previous prime is 822240877. The next prime is 822240907. The reversal of 822240901 is 109042228.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 785456676 + 36784225 = 28026^2 + 6065^2 .

It is a cyclic number.

It is not a de Polignac number, because 822240901 - 2¹³ = 822232709 is a prime.

It is equal to p_42230548 and since 822240901 and 42230548 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 822240901.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (822240907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 411120450 + 411120451.

It is an arithmetic number, because the mean of its divisors is an integer number (411120451).

Almost surely, 2^822240901 is an apocalyptic number.

822240901 is the 18136-th centered pentagonal number.

It is an amenable number.

822240901 is a deficient number, since it is larger than the sum of its proper divisors (1).

822240901 is an equidigital number, since it uses as much as digits as its factorization.

822240901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 822240901 is about 28674.7432595307. The cubic root of 822240901 is about 936.8420133444.

The spelling of 822240901 in words is "eight hundred twenty-two million, two hundred forty thousand, nine hundred one".