10946385 has 48 divisors (see below), whose sum is σ = 20638800. Its totient is φ = 5345280.

The previous prime is 10946371. The next prime is 10946399. The reversal of 10946385 is 58364901.

10946385 is a `hidden beast` number, since 10 + 9 + 4 + 638 + 5 = 666.

10946385 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10946371) and next prime (10946399).

It can be written as a sum of positive squares in 8 ways, for example, as 76176 + 10870209 = 276^2 + 3297^2 .

It is not a de Polignac number, because 10946385 - 2⁸ = 10946129 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31191 + ... + 31539.

It is an arithmetic number, because the mean of its divisors is an integer number (429975).

Almost surely, 2^10946385 is an apocalyptic number.

10946385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10946385 is a deficient number, since it is larger than the sum of its proper divisors (9692415).

10946385 is a wasteful number, since it uses less digits than its factorization.

10946385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10946385 is about 3308.5321518764. The cubic root of 10946385 is about 222.0360910400.

The spelling of 10946385 in words is "ten million, nine hundred forty-six thousand, three hundred eighty-five".