4065 has 8 divisors (see below), whose sum is σ = 6528. Its totient is φ = 2160.

The previous prime is 4057. The next prime is 4073. The reversal of 4065 is 5604.

It is an interprime number because it is at equal distance from previous prime (4057) and next prime (4073).

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

It is not a de Polignac number, because 4065 - 2³ = 4057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 271 = 4065 / (4 + 0 + 6 + 5).

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 150.

It is an arithmetic number, because the mean of its divisors is an integer number (816).

It is an amenable number.

4065 is a deficient number, since it is larger than the sum of its proper divisors (2463).

4065 is a wasteful number, since it uses less digits than its factorization.

4065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4065 is about 63.7573525172. The cubic root of 4065 is about 15.9595331551.

Adding to 4065 its reverse (5604), we get a palindrome (9669).

It can be divided in two parts, 40 and 65, that added together give a triangular number (105 = T₁₄).

The spelling of 4065 in words is "four thousand, sixty-five".