3995 has 8 divisors (see below), whose sum is σ = 5184. Its totient is φ = 2944.

The previous prime is 3989. The next prime is 4001. The reversal of 3995 is 5993.

It is an interprime number because it is at equal distance from previous prime (3989) and next prime (4001).

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

It is a cyclic number.

It is not a de Polignac number, because 3995 - 2⁶ = 3931 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a nialpdrome in base 8.

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, 62 + ... + 108.

It is an arithmetic number, because the mean of its divisors is an integer number (648).

2³⁹⁹⁵ is an apocalyptic number.

3995 is a deficient number, since it is larger than the sum of its proper divisors (1189).

3995 is a wasteful number, since it uses less digits than its factorization.

3995 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69.

The product of its digits is 1215, while the sum is 26.

The square root of 3995 is about 63.2060123722. The cubic root of 3995 is about 15.8673935908.

Subtracting from 3995 its sum of digits (26), we obtain a square (3969 = 63²).

It can be divided in two parts, 399 and 5, that added together give a palindrome (404).

The spelling of 3995 in words is "three thousand, nine hundred ninety-five".