11584261 has 8 divisors (see below), whose sum is σ = 12514040. Its totient is φ = 10660032.

The previous prime is 11584241. The next prime is 11584273. The reversal of 11584261 is 16248511.

It is the 1390-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 65025 + 11519236 = 255^2 + 3394^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 11584261 - 2⁵ = 11584229 is a prime.

It is a super-2 number, since 2×11584261² = 268390205832242, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11584201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3655 + ... + 6043.

It is an arithmetic number, because the mean of its divisors is an integer number (1564255).

Almost surely, 2^11584261 is an apocalyptic number.

It is an amenable number.

11584261 is a deficient number, since it is larger than the sum of its proper divisors (929779).

11584261 is a wasteful number, since it uses less digits than its factorization.

11584261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775.

The product of its digits is 1920, while the sum is 28.

The square root of 11584261 is about 3403.5659241449. The cubic root of 11584261 is about 226.2678123599.

The spelling of 11584261 in words is "eleven million, five hundred eighty-four thousand, two hundred sixty-one".