11955641 has 12 divisors (see below), whose sum is σ = 13022940. Its totient is φ = 10967040.

The previous prime is 11955599. The next prime is 11955649. The reversal of 11955641 is 14655911.

It can be written as a sum of positive squares in 6 ways, for example, as 87616 + 11868025 = 296^2 + 3445^2 .

It is not a de Polignac number, because 11955641 - 2¹⁰ = 11954617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11955598 and 11955607.

It is not an unprimeable number, because it can be changed into a prime (11955649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11345 + ... + 12353.

It is an arithmetic number, because the mean of its divisors is an integer number (1085245).

Almost surely, 2^11955641 is an apocalyptic number.

It is an amenable number.

11955641 is a deficient number, since it is larger than the sum of its proper divisors (1067299).

11955641 is a wasteful number, since it uses less digits than its factorization.

11955641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1067 counting only the distinct ones).

The product of its digits is 5400, while the sum is 32.

The square root of 11955641 is about 3457.6930170274. The cubic root of 11955641 is about 228.6603980844.

It can be divided in two parts, 119556 and 41, that multiplied together give a square (4901796 = 2214²).

The spelling of 11955641 in words is "eleven million, nine hundred fifty-five thousand, six hundred forty-one".