819202961 has 2 divisors, whose sum is σ = 819202962. Its totient is φ = 819202960.

The previous prime is 819202957. The next prime is 819202963. The reversal of 819202961 is 169202918.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 620956561 + 198246400 = 24919^2 + 14080^2 .

It is a cyclic number.

It is not a de Polignac number, because 819202961 - 2² = 819202957 is a prime.

It is a super-2 number, since 2×819202961² = 1342186982622335042, which contains 22 as substring.

Together with 819202963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (819202963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 409601480 + 409601481.

It is an arithmetic number, because the mean of its divisors is an integer number (409601481).

Almost surely, 2^819202961 is an apocalyptic number.

It is an amenable number.

819202961 is a deficient number, since it is larger than the sum of its proper divisors (1).

819202961 is an equidigital number, since it uses as much as digits as its factorization.

819202961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 819202961 is about 28621.7218384918. The cubic root of 819202961 is about 935.6868035727.

The spelling of 819202961 in words is "eight hundred nineteen million, two hundred two thousand, nine hundred sixty-one".