13211964 has 48 divisors (see below), whose sum is σ = 34755840. Its totient is φ = 4339440.

The previous prime is 13211953. The next prime is 13211969. The reversal of 13211964 is 46911231.

13211964 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 a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211969) 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, 6807 + ... + 8529.

It is an arithmetic number, because the mean of its divisors is an integer number (724080).

Almost surely, 2^13211964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17377920).

13211964 is an abundant number, since it is smaller than the sum of its proper divisors (21543876).

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

13211964 is a wasteful number, since it uses less digits than its factorization.

13211964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1799 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 13211964 is about 3634.8265433168. The cubic root of 13211964 is about 236.4045297903.

The spelling of 13211964 in words is "thirteen million, two hundred eleven thousand, nine hundred sixty-four".