11332305 has 28 divisors (see below), whose sum is σ = 20395380. Its totient is φ = 6041952.

The previous prime is 11332297. The next prime is 11332309. The reversal of 11332305 is 50323311.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 8346321 = 1728^2 + 2889^2 .

It is not a de Polignac number, because 11332305 - 2³ = 11332297 is a prime.

It is a super-2 number, since 2×11332305² = 256842273226050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11332309) 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 in 27 ways as a sum of consecutive naturals, for example, 2091 + ... + 5199.

Almost surely, 2^11332305 is an apocalyptic number.

11332305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11332305 is a deficient number, since it is larger than the sum of its proper divisors (9063075).

11332305 is an frugal number, since it uses more digits than its factorization.

11332305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 11332305 is about 3366.3489123975. The cubic root of 11332305 is about 224.6153427695.

Adding to 11332305 its reverse (50323311), we get a palindrome (61655616).

The spelling of 11332305 in words is "eleven million, three hundred thirty-two thousand, three hundred five".