11712609 has 24 divisors (see below), whose sum is σ = 18406440. Its totient is φ = 7147008.

The previous prime is 11712587. The next prime is 11712611. The reversal of 11712609 is 90621711.

It can be written as a sum of positive squares in 4 ways, for example, as 3504384 + 8208225 = 1872^2 + 2865^2 .

It is not a de Polignac number, because 11712609 - 2⁵ = 11712577 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11712689) 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 23 ways as a sum of consecutive naturals, for example, 4627 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (766935).

Almost surely, 2^11712609 is an apocalyptic number.

It is an amenable number.

11712609 is a deficient number, since it is larger than the sum of its proper divisors (6693831).

11712609 is a wasteful number, since it uses less digits than its factorization.

11712609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11712609 is about 3422.3689164086. The cubic root of 11712609 is about 227.1003909490.

It can be divided in two parts, 11712 and 609, that added together give a palindrome (12321).

The spelling of 11712609 in words is "eleven million, seven hundred twelve thousand, six hundred nine".