11967813 has 48 divisors (see below), whose sum is σ = 21542976. Its totient is φ = 6289920.

The previous prime is 11967799. The next prime is 11967821. The reversal of 11967813 is 31876911.

It is not a de Polignac number, because 11967813 - 2⁹ = 11967301 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11967833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21606 + ... + 22152.

It is an arithmetic number, because the mean of its divisors is an integer number (448812).

Almost surely, 2^11967813 is an apocalyptic number.

11967813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11967813 is a deficient number, since it is larger than the sum of its proper divisors (9575163).

11967813 is a wasteful number, since it uses less digits than its factorization.

11967813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 591 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11967813 is about 3459.4527023794. The cubic root of 11967813 is about 228.7379712388.

It can be divided in two parts, 1196 and 7813, that added together give a palindrome (9009).

The spelling of 11967813 in words is "eleven million, nine hundred sixty-seven thousand, eight hundred thirteen".