99967961 has 2 divisors, whose sum is σ = 99967962. Its totient is φ = 99967960.

The previous prime is 99967937. The next prime is 99967981. The reversal of 99967961 is 16976999.

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., 80209936 + 19758025 = 8956^2 + 4445^2 .

It is a cyclic number.

It is not a de Polignac number, because 99967961 - 2⁶ = 99967897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 99967897 and 99967906.

It is not a weakly prime, because it can be changed into another prime (99967981) 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, 49983980 + 49983981.

It is an arithmetic number, because the mean of its divisors is an integer number (49983981).

Almost surely, 2^99967961 is an apocalyptic number.

It is an amenable number.

99967961 is a deficient number, since it is larger than the sum of its proper divisors (1).

99967961 is an equidigital number, since it uses as much as digits as its factorization.

99967961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1653372, while the sum is 56.

The square root of 99967961 is about 9998.3979216673. The cubic root of 99967961 is about 464.1093074448.

The spelling of 99967961 in words is "ninety-nine million, nine hundred sixty-seven thousand, nine hundred sixty-one".