11721164 has 36 divisors (see below), whose sum is σ = 25394544. Its totient is φ = 4635072.

The previous prime is 11721163. The next prime is 11721169. The reversal of 11721164 is 46112711.

11721164 = T₄₉ + T₅₀ + ... + T₄₁₂.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11721163) 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 11 ways as a sum of consecutive naturals, for example, 3494 + ... + 5970.

It is an arithmetic number, because the mean of its divisors is an integer number (705404).

Almost surely, 2^11721164 is an apocalyptic number.

11721164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11721164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12697272).

11721164 is an abundant number, since it is smaller than the sum of its proper divisors (13673380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11721164 is a wasteful number, since it uses less digits than its factorization.

11721164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2499 counting only the distinct ones).

The product of its digits is 336, while the sum is 23.

The square root of 11721164 is about 3423.6185535191. The cubic root of 11721164 is about 227.1556695812.

Adding to 11721164 its reverse (46112711), we get a palindrome (57833875).

The spelling of 11721164 in words is "eleven million, seven hundred twenty-one thousand, one hundred sixty-four".