13162164 has 48 divisors (see below), whose sum is σ = 32428032. Its totient is φ = 4146912.

The previous prime is 13162151. The next prime is 13162169. The reversal of 13162164 is 46126131.

13162164 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 super-2 number, since 2×13162164² = 346485122325792, which contains 22 as substring.

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 (13162169) 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, 28197 + ... + 28659.

It is an arithmetic number, because the mean of its divisors is an integer number (675584).

Almost surely, 2^13162164 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 13162164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214016).

13162164 is an abundant number, since it is smaller than the sum of its proper divisors (19265868).

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

13162164 is a wasteful number, since it uses less digits than its factorization.

13162164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 594 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 13162164 is about 3627.9696801379. The cubic root of 13162164 is about 236.1071284198.

Adding to 13162164 its reverse (46126131), we get a palindrome (59288295).

The spelling of 13162164 in words is "thirteen million, one hundred sixty-two thousand, one hundred sixty-four".