4015 has 8 divisors (see below), whose sum is σ = 5328. Its totient is φ = 2880.

The previous prime is 4013. The next prime is 4019. The reversal of 4015 is 5104.

4015 is nontrivially palindromic in base 4 and base 16.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4015 - 2¹ = 4013 is a prime.

It is a super-2 number, since 2×4015² = 32240450, which contains 22 as substring.

It is a Duffinian number.

4015 is an undulating number in base 16.

4015 is a lucky number.

It is a plaindrome in base 14.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 3992 and 4010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013) 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, 19 + ... + 91.

It is an arithmetic number, because the mean of its divisors is an integer number (666).

4015 is a deficient number, since it is larger than the sum of its proper divisors (1313).

4015 is a wasteful number, since it uses less digits than its factorization.

4015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 4015 is about 63.3640276498. The cubic root of 4015 is about 15.8938282812.

Subtracting from 4015 its sum of digits (10), we obtain a triangular number (4005 = T₈₉).

Adding to 4015 its reverse (5104), we get a palindrome (9119).

Subtracting 4015 from its reverse (5104), we obtain a square (1089 = 33²).

It can be divided in two parts, 401 and 5, that added together give a triangular number (406 = T₂₈).

The spelling of 4015 in words is "four thousand, fifteen".