11821167 has 16 divisors (see below), whose sum is σ = 17987680. Its totient is φ = 7667136.

The previous prime is 11821163. The next prime is 11821169. The reversal of 11821167 is 76112811.

11821167 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11821167 - 2² = 11821163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11821167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11821163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4918 + ... + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (1124230).

Almost surely, 2^11821167 is an apocalyptic number.

11821167 is a deficient number, since it is larger than the sum of its proper divisors (6166513).

11821167 is a wasteful number, since it uses less digits than its factorization.

11821167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11879 (or 11873 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 11821167 is about 3438.1924029932. The cubic root of 11821167 is about 227.7998589914.

Adding to 11821167 its reverse (76112811), we get a palindrome (87933978).

The spelling of 11821167 in words is "eleven million, eight hundred twenty-one thousand, one hundred sixty-seven".