11286945 has 60 divisors (see below), whose sum is σ = 21627540. Its totient is φ = 5624640.

The previous prime is 11286943. The next prime is 11286949. The reversal of 11286945 is 54968211.

It can be written as a sum of positive squares in 2 ways, for example, as 4981824 + 6305121 = 2232^2 + 2511^2 .

It is not a de Polignac number, because 11286945 - 2¹ = 11286943 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (17280) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286943) 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 59 ways as a sum of consecutive naturals, for example, 364080 + ... + 364110.

It is an arithmetic number, because the mean of its divisors is an integer number (360459).

Almost surely, 2^11286945 is an apocalyptic number.

11286945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11286945 is a deficient number, since it is larger than the sum of its proper divisors (10340595).

11286945 is an equidigital number, since it uses as much as digits as its factorization.

11286945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 68 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 11286945 is about 3359.6048874831. The cubic root of 11286945 is about 224.3152515342.

The spelling of 11286945 in words is "eleven million, two hundred eighty-six thousand, nine hundred forty-five".