11587961 has 12 divisors (see below), whose sum is σ = 14706000. Its totient is φ = 9029160.

The previous prime is 11587951. The next prime is 11588009. The reversal of 11587961 is 16978511.

11587961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11587961 - 2¹⁰ = 11586937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11587951) 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, 10211 + ... + 11288.

It is an arithmetic number, because the mean of its divisors is an integer number (1225500).

Almost surely, 2^11587961 is an apocalyptic number.

11587961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11587961 is a deficient number, since it is larger than the sum of its proper divisors (3118039).

11587961 is a wasteful number, since it uses less digits than its factorization.

11587961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21524 (or 21517 counting only the distinct ones).

The product of its digits is 15120, while the sum is 38.

The square root of 11587961 is about 3404.1094283234. The cubic root of 11587961 is about 226.2918996910.

It can be divided in two parts, 1158 and 7961, that added together give a palindrome (9119).

The spelling of 11587961 in words is "eleven million, five hundred eighty-seven thousand, nine hundred sixty-one".