8202142961 has 2 divisors, whose sum is σ = 8202142962. Its totient is φ = 8202142960.

The previous prime is 8202142933. The next prime is 8202142969. The reversal of 8202142961 is 1692412028.

8202142961 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7860595600 + 341547361 = 88660^2 + 18481^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8202142961 is a prime.

It is not a weakly prime, because it can be changed into another prime (8202142969) 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 as a sum of consecutive naturals, namely, 4101071480 + 4101071481.

It is an arithmetic number, because the mean of its divisors is an integer number (4101071481).

Almost surely, 2^8202142961 is an apocalyptic number.

It is an amenable number.

8202142961 is a deficient number, since it is larger than the sum of its proper divisors (1).

8202142961 is an equidigital number, since it uses as much as digits as its factorization.

8202142961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8202142961 is about 90565.6831310845. The cubic root of 8202142961 is about 2016.7053243263.

Adding to 8202142961 its reverse (1692412028), we get a palindrome (9894554989).

The spelling of 8202142961 in words is "eight billion, two hundred two million, one hundred forty-two thousand, nine hundred sixty-one".