38115 has 36 divisors (see below), whose sum is σ = 82992. Its totient is φ = 15840.

The previous prime is 38113. The next prime is 38119. The reversal of 38115 is 51183.

It is a happy number.

38115 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38115 - 2¹ = 38113 is a prime.

Its product of digits (120) is a multiple of the sum of its prime factors (40).

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38115.

It is not an unprimeable number, because it can be changed into a prime (38113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3460 + ... + 3470.

2³⁸¹¹⁵ is an apocalyptic number.

38115 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

38115 is an abundant number, since it is smaller than the sum of its proper divisors (44877).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41496).

38115 is a wasteful number, since it uses less digits than its factorization.

38115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 26 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 38115 is about 195.2306328423. The cubic root of 38115 is about 33.6536345774.

Multiplying 38115 by its product of digits (120), we get a triangular number (4573800 = T₃₀₂₄).

Adding to 38115 its reverse (51183), we get a palindrome (89298).

It can be divided in two parts, 38 and 115, that added together give a triangular number (153 = T₁₇).

The spelling of 38115 in words is "thirty-eight thousand, one hundred fifteen".