966182401 has 2 divisors, whose sum is σ = 966182402. Its totient is φ = 966182400.

The previous prime is 966182383. The next prime is 966182423. The reversal of 966182401 is 104281669.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 532501776 + 433680625 = 23076^2 + 20825^2 .

It is an emirp because it is prime and its reverse (104281669) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 966182401 - 2⁹ = 966181889 is a prime.

It is not a weakly prime, because it can be changed into another prime (966182491) 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, 483091200 + 483091201.

It is an arithmetic number, because the mean of its divisors is an integer number (483091201).

Almost surely, 2^966182401 is an apocalyptic number.

It is an amenable number.

966182401 is a deficient number, since it is larger than the sum of its proper divisors (1).

966182401 is an equidigital number, since it uses as much as digits as its factorization.

966182401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 966182401 is about 31083.4747253263. The cubic root of 966182401 is about 988.5979544717.

The spelling of 966182401 in words is "nine hundred sixty-six million, one hundred eighty-two thousand, four hundred one".