11784961 has 8 divisors (see below), whose sum is σ = 12514824. Its totient is φ = 11059200.

The previous prime is 11784953. The next prime is 11785001. The reversal of 11784961 is 16948711.

It can be written as a sum of positive squares in 4 ways, for example, as 4730625 + 7054336 = 2175^2 + 2656^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 2-Lehmer number, since φ(11784961) divides (11784961-1)².

It is a cyclic number.

It is not a de Polignac number, because 11784961 - 2³ = 11784953 is a prime.

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 11784961.

It is not an unprimeable number, because it can be changed into a prime (11784931) 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 7 ways as a sum of consecutive naturals, for example, 6561 + ... + 8161.

It is an arithmetic number, because the mean of its divisors is an integer number (1564353).

Almost surely, 2^11784961 is an apocalyptic number.

It is an amenable number.

11784961 is a deficient number, since it is larger than the sum of its proper divisors (729863).

11784961 is a wasteful number, since it uses less digits than its factorization.

11784961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051.

The product of its digits is 12096, while the sum is 37.

The square root of 11784961 is about 3432.9230984687. The cubic root of 11784961 is about 227.5670518453.

It can be divided in two parts, 117 and 84961, that added together give a triangular number (85078 = T₄₁₂).

The spelling of 11784961 in words is "eleven million, seven hundred eighty-four thousand, nine hundred sixty-one".