2166164 has 48 divisors (see below), whose sum is σ = 5099136. Its totient is φ = 777600.

The previous prime is 2166161. The next prime is 2166167. The reversal of 2166164 is 4616612.

It is a happy number.

2166164 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2166161) and next prime (2166167).

It is a Harshad number since it is a multiple of its sum of digits (26).

Its product of digits (1728) is a multiple of the sum of its prime factors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166161) 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, 3734 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (106232).

2^2166164 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 2166164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549568).

2166164 is an abundant number, since it is smaller than the sum of its proper divisors (2932972).

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

2166164 is a wasteful number, since it uses less digits than its factorization.

2166164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 2166164 is about 1471.7893871067. The cubic root of 2166164 is about 129.3889269860.

The spelling of 2166164 in words is "two million, one hundred sixty-six thousand, one hundred sixty-four".