38114 has 16 divisors (see below), whose sum is σ = 64800. Its totient is φ = 16704.

The previous prime is 38113. The next prime is 38119. The reversal of 38114 is 41183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

38114 is a modest number, since divided by 114 gives 38 as remainder.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 38092 and 38101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38113) 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 7 ways as a sum of consecutive naturals, for example, 617 + ... + 675.

It is an arithmetic number, because the mean of its divisors is an integer number (4050).

2³⁸¹¹⁴ is an apocalyptic number.

38114 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38114 is a deficient number, since it is larger than the sum of its proper divisors (26686).

38114 is a wasteful number, since it uses less digits than its factorization.

38114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97.

The product of its digits is 96, while the sum is 17.

The square root of 38114 is about 195.2280717520. The cubic root of 38114 is about 33.6533402582.

Adding to 38114 its reverse (41183), we get a palindrome (79297).

It can be divided in two parts, 3 and 8114, that multiplied together give a palindrome (24342).

The spelling of 38114 in words is "thirty-eight thousand, one hundred fourteen".