4138164 has 36 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 1359120.

The previous prime is 4138153. The next prime is 4138217. The reversal of 4138164 is 4618314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1747 + ... + 3365.

It is an arithmetic number, because the mean of its divisors is an integer number (294840).

Almost surely, 2^4138164 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 4138164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

4138164 is an abundant number, since it is smaller than the sum of its proper divisors (6476076).

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

4138164 is a wasteful number, since it uses less digits than its factorization.

4138164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1695 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4138164 is about 2034.2477725194. The cubic root of 4138164 is about 160.5471372889.

The spelling of 4138164 in words is "four million, one hundred thirty-eight thousand, one hundred sixty-four".