38164 has 24 divisors (see below), whose sum is σ = 80640. Its totient is φ = 15456.

The previous prime is 38153. The next prime is 38167. The reversal of 38164 is 46183.

It is a d-powerful number, because it can be written as 3 + 8⁵ + 1 + 6⁴ + 4⁶ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (3360).

2³⁸¹⁶⁴ 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 38164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320).

38164 is an abundant number, since it is smaller than the sum of its proper divisors (42476).

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

38164 is a wasteful number, since it uses less digits than its factorization.

38164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 85 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 38164 is about 195.3560851369. The cubic root of 38164 is about 33.6680499165.

It can be divided in two parts, 38 and 164, that added together give a palindrome (202).

The spelling of 38164 in words is "thirty-eight thousand, one hundred sixty-four".