827067961 has 2 divisors, whose sum is σ = 827067962. Its totient is φ = 827067960.

The previous prime is 827067937. The next prime is 827067979. The reversal of 827067961 is 169760728.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 781761600 + 45306361 = 27960^2 + 6731^2 .

It is a cyclic number.

It is not a de Polignac number, because 827067961 - 2¹⁷ = 826936889 is a prime.

It is a super-2 number, since 2×827067961² = 1368082824225395042, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (827067991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413533980 + 413533981.

It is an arithmetic number, because the mean of its divisors is an integer number (413533981).

Almost surely, 2^827067961 is an apocalyptic number.

It is an amenable number.

827067961 is a deficient number, since it is larger than the sum of its proper divisors (1).

827067961 is an equidigital number, since it uses as much as digits as its factorization.

827067961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 827067961 is about 28758.7892825828. The cubic root of 827067961 is about 938.6717171866.

The spelling of 827067961 in words is "eight hundred twenty-seven million, sixty-seven thousand, nine hundred sixty-one".