11001965 has 16 divisors (see below), whose sum is σ = 14307888. Its totient is φ = 8073216.

The previous prime is 11001961. The next prime is 11001967. The reversal of 11001965 is 56910011.

It can be written as a sum of positive squares in 8 ways, for example, as 491401 + 10510564 = 701^2 + 3242^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001965 - 2² = 11001961 is a prime.

It is a super-2 number, since 2×11001965² = 242086467722450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11001965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001961) 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 15 ways as a sum of consecutive naturals, for example, 12107 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (894243).

Almost surely, 2^11001965 is an apocalyptic number.

It is an amenable number.

11001965 is a deficient number, since it is larger than the sum of its proper divisors (3305923).

11001965 is a wasteful number, since it uses less digits than its factorization.

11001965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088.

The product of its (nonzero) digits is 270, while the sum is 23.

The square root of 11001965 is about 3316.9210120230. The cubic root of 11001965 is about 222.4112510590.

Adding to 11001965 its reverse (56910011), we get a palindrome (67911976).

The spelling of 11001965 in words is "eleven million, one thousand, nine hundred sixty-five".