13207164 has 48 divisors (see below), whose sum is σ = 33003936. Its totient is φ = 4096000.

The previous prime is 13207163. The next prime is 13207169. The reversal of 13207164 is 46170231.

13207164 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (13207163) 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, 20284 + ... + 20924.

It is an arithmetic number, because the mean of its divisors is an integer number (687582).

Almost surely, 2^13207164 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 13207164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501968).

13207164 is an abundant number, since it is smaller than the sum of its proper divisors (19796772).

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

13207164 is a wasteful number, since it uses less digits than its factorization.

13207164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13207164 is about 3634.1662042345. The cubic root of 13207164 is about 236.3758971764.

Adding to 13207164 its reverse (46170231), we get a palindrome (59377395).

The spelling of 13207164 in words is "thirteen million, two hundred seven thousand, one hundred sixty-four".