11968541 has 8 divisors (see below), whose sum is σ = 13071744. Its totient is φ = 10891440.

The previous prime is 11968507. The next prime is 11968547. The reversal of 11968541 is 14586911.

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 11968541 - 2¹⁸ = 11706397 is a prime.

It is a super-3 number, since 3×11968541³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968547) 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, 5561 + ... + 7406.

It is an arithmetic number, because the mean of its divisors is an integer number (1633968).

Almost surely, 2^11968541 is an apocalyptic number.

It is an amenable number.

11968541 is a deficient number, since it is larger than the sum of its proper divisors (1103203).

11968541 is a wasteful number, since it uses less digits than its factorization.

11968541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13051.

The product of its digits is 8640, while the sum is 35.

The square root of 11968541 is about 3459.5579197348. The cubic root of 11968541 is about 228.7426091752.

The spelling of 11968541 in words is "eleven million, nine hundred sixty-eight thousand, five hundred forty-one".