38214 has 24 divisors (see below), whose sum is σ = 90792. Its totient is φ = 11520.

The previous prime is 38201. The next prime is 38219. The reversal of 38214 is 41283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102 + ... + 294.

It is an arithmetic number, because the mean of its divisors is an integer number (3783).

2³⁸²¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45396).

38214 is an abundant number, since it is smaller than the sum of its proper divisors (52578).

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

38214 is a wasteful number, since it uses less digits than its factorization.

38214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 38214 is about 195.4840146917. The cubic root of 38214 is about 33.6827467326.

Adding to 38214 its reverse (41283), we get a palindrome (79497).

It can be divided in two parts, 38 and 214, that added together give a palindrome (252).

The spelling of 38214 in words is "thirty-eight thousand, two hundred fourteen".