11531641 has 8 divisors (see below), whose sum is σ = 12722400. Its totient is φ = 10364640.

The previous prime is 11531621. The next prime is 11531669. The reversal of 11531641 is 14613511.

11531641 = 60² + 61² + ... + 326².

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

It is not a de Polignac number, because 11531641 - 2¹¹ = 11529593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11531621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4911 + ... + 6868.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^11531641 is an apocalyptic number.

11531641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11531641 is a deficient number, since it is larger than the sum of its proper divisors (1190759).

11531641 is a wasteful number, since it uses less digits than its factorization.

11531641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11879.

The product of its digits is 360, while the sum is 22.

The square root of 11531641 is about 3395.8269979491. The cubic root of 11531641 is about 225.9246949356.

The spelling of 11531641 in words is "eleven million, five hundred thirty-one thousand, six hundred forty-one".