13723164 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 3507840.

The previous prime is 13723163. The next prime is 13723183. The reversal of 13723164 is 46132731.

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 (13723163) 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 47 ways as a sum of consecutive naturals, for example, 193249 + ... + 193319.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^13723164 is an apocalyptic number.

13723164 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 13723164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

13723164 is an abundant number, since it is smaller than the sum of its proper divisors (30306276).

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

13723164 is a wasteful number, since it uses less digits than its factorization.

13723164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 13723164 is about 3704.4789107242. The cubic root of 13723164 is about 239.4150337186.

Adding to 13723164 its reverse (46132731), we get a palindrome (59855895).

The spelling of 13723164 in words is "thirteen million, seven hundred twenty-three thousand, one hundred sixty-four".