10946985 has 32 divisors (see below), whose sum is σ = 20189952. Its totient is φ = 4961280.

The previous prime is 10946941. The next prime is 10946989. The reversal of 10946985 is 58964901.

It is not a de Polignac number, because 10946985 - 2⁸ = 10946729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10946989) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14005 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (630936).

Almost surely, 2^10946985 is an apocalyptic number.

10946985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10946985 is a deficient number, since it is larger than the sum of its proper divisors (9242967).

10946985 is a wasteful number, since it uses less digits than its factorization.

10946985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 10946985 is about 3308.6228252855. The cubic root of 10946985 is about 222.0401477589.

The spelling of 10946985 in words is "ten million, nine hundred forty-six thousand, nine hundred eighty-five".