966009101 has 2 divisors, whose sum is σ = 966009102. Its totient is φ = 966009100.

The previous prime is 966009091. The next prime is 966009103. The reversal of 966009101 is 101900669.

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., 935748100 + 30261001 = 30590^2 + 5501^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-966009101 is a prime.

Together with 966009103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (966009103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 483004550 + 483004551.

It is an arithmetic number, because the mean of its divisors is an integer number (483004551).

Almost surely, 2^966009101 is an apocalyptic number.

It is an amenable number.

966009101 is a deficient number, since it is larger than the sum of its proper divisors (1).

966009101 is an equidigital number, since it uses as much as digits as its factorization.

966009101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 966009101 is about 31080.6869454329. The cubic root of 966009101 is about 988.5388440768.

The spelling of 966009101 in words is "nine hundred sixty-six million, nine thousand, one hundred one".