11036772 has 18 divisors (see below), whose sum is σ = 27898598. Its totient is φ = 3678912.

The previous prime is 11036771. The next prime is 11036813. The reversal of 11036772 is 27763011.

It can be written as a sum of positive squares in only one way, i.e., 7257636 + 3779136 = 2694^2 + 1944^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is not an unprimeable number, because it can be changed into a prime (11036771) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153253 + ... + 153324.

Almost surely, 2^11036772 is an apocalyptic number.

11036772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11036772 is an abundant number, since it is smaller than the sum of its proper divisors (16861826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11036772 is a wasteful number, since it uses less digits than its factorization.

11036772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306587 (or 306582 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 11036772 is about 3322.1637527371. The cubic root of 11036772 is about 222.6455521989.

Adding to 11036772 its reverse (27763011), we get a palindrome (38799783).

It can be divided in two parts, 1103 and 6772, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 11036772 in words is "eleven million, thirty-six thousand, seven hundred seventy-two".