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946386401 is a prime number
BaseRepresentation
bin111000011010001…
…011010111100001
32102221210102002012
4320122023113201
53414233331101
6233524202305
732311103012
oct7032132741
92387712065
10946386401
11446235124
12224b39395
131210b806c
148d993009
1558140bbb
hex3868b5e1

946386401 has 2 divisors, whose sum is σ = 946386402. Its totient is φ = 946386400.

The previous prime is 946386283. The next prime is 946386421. The reversal of 946386401 is 104683649.

946386401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 783160225 + 163226176 = 27985^2 + 12776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-946386401 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (946386421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 473193200 + 473193201.

It is an arithmetic number, because the mean of its divisors is an integer number (473193201).

Almost surely, 2946386401 is an apocalyptic number.

It is an amenable number.

946386401 is a deficient number, since it is larger than the sum of its proper divisors (1).

946386401 is an equidigital number, since it uses as much as digits as its factorization.

946386401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 946386401 is about 30763.3938472334. The cubic root of 946386401 is about 981.7995537605.

The spelling of 946386401 in words is "nine hundred forty-six million, three hundred eighty-six thousand, four hundred one".