3915 has 16 divisors (see below), whose sum is σ = 7200. Its totient is φ = 2016.

The previous prime is 3911. The next prime is 3917. The reversal of 3915 is 5193.

3915 = 7³ + 8³ + ... + 11³.

3915 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 3915 - 2² = 3911 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

3915 is an undulating number in base 12.

3915 is a lucky number.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (3911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121 + ... + 149.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

3915 is a deficient number, since it is larger than the sum of its proper divisors (3285).

3915 is a wasteful number, since it uses less digits than its factorization.

3915 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 37 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 3915 is about 62.5699608438. The cubic root of 3915 is about 15.7607636175.

It can be divided in two parts, 39 and 15, that multiplied together give a palindrome (585).

The spelling of 3915 in words is "three thousand, nine hundred fifteen".