4115 has 4 divisors (see below), whose sum is σ = 4944. Its totient is φ = 3288.

The previous prime is 4111. The next prime is 4127. The reversal of 4115 is 5114.

4115 = T₃₄ + T₃₅ + ... + T₃₉.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 5114 = 2 ⋅2557.

It is a cyclic number.

It is not a de Polignac number, because 4115 - 2² = 4111 is a prime.

It is a Duffinian number.

It is a plaindrome in base 7, base 12, base 14 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 4096 and 4105.

It is not an unprimeable number, because it can be changed into a prime (4111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 407 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (1236).

2⁴¹¹⁵ is an apocalyptic number.

4115 is a deficient number, since it is larger than the sum of its proper divisors (829).

4115 is an equidigital number, since it uses as much as digits as its factorization.

4115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828.

The product of its digits is 20, while the sum is 11.

The square root of 4115 is about 64.1482657599. The cubic root of 4115 is about 16.0247014287.

Subtracting from 4115 its product of digits (20), we obtain a triangular number (4095 = T₉₀).

Adding to 4115 its reverse (5114), we get a palindrome (9229).

Subtracting 4115 from its reverse (5114), we obtain a palindrome (999).

The spelling of 4115 in words is "four thousand, one hundred fifteen".