828044222941 has 32 divisors (see below), whose sum is σ = 921586711136. Its totient is φ = 739031040000.

The previous prime is 828044222911. The next prime is 828044222947. The reversal of 828044222941 is 149222440828.

828044222941 = 643445² + 643446².

It can be written as a sum of positive squares in 16 ways, for example, as 668061022500 + 159983200441 = 817350^2 + 399979^2 .

It is a 7-Lehmer number, since φ(828044222941) divides (828044222941-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 828044222941 - 2⁵ = 828044222909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 828044222891 and 828044222900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828044222947) 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 31 ways as a sum of consecutive naturals, for example, 156794221 + ... + 156799501.

It is an arithmetic number, because the mean of its divisors is an integer number (28799584723).

Almost surely, 2^828044222941 is an apocalyptic number.

828044222941 is the 643446-th centered square number.

It is an amenable number.

828044222941 is a deficient number, since it is larger than the sum of its proper divisors (93542488195).

828044222941 is a wasteful number, since it uses less digits than its factorization.

828044222941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313.

The product of its (nonzero) digits is 589824, while the sum is 46.

The spelling of 828044222941 in words is "eight hundred twenty-eight billion, forty-four million, two hundred twenty-two thousand, nine hundred forty-one".