2167164 has 36 divisors (see below), whose sum is σ = 5629624. Its totient is φ = 702432.

The previous prime is 2167163. The next prime is 2167183. The reversal of 2167164 is 4617612.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2167163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 519 + ... + 2145.

2^2167164 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 2167164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814812).

2167164 is an abundant number, since it is smaller than the sum of its proper divisors (3462460).

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

2167164 is a wasteful number, since it uses less digits than its factorization.

2167164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1669 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2167164 is about 1472.1290704283. The cubic root of 2167164 is about 129.4088345310.

The spelling of 2167164 in words is "two million, one hundred sixty-seven thousand, one hundred sixty-four".