13705164 has 72 divisors (see below), whose sum is σ = 38565072. Its totient is φ = 4068480.

The previous prime is 13705163. The next prime is 13705177. The reversal of 13705164 is 46150731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13705163) 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 23 ways as a sum of consecutive naturals, for example, 20662 + ... + 21314.

It is an arithmetic number, because the mean of its divisors is an integer number (535626).

Almost surely, 2^13705164 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 13705164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19282536).

13705164 is an abundant number, since it is smaller than the sum of its proper divisors (24859908).

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

13705164 is a wasteful number, since it uses less digits than its factorization.

13705164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13705164 is about 3702.0486220470. The cubic root of 13705164 is about 239.3103116065.

Adding to 13705164 its reverse (46150731), we get a palindrome (59855895).

The spelling of 13705164 in words is "thirteen million, seven hundred five thousand, one hundred sixty-four".