4995 has 16 divisors (see below), whose sum is σ = 9120. Its totient is φ = 2592.

The previous prime is 4993. The next prime is 4999. The reversal of 4995 is 5994.

It is a happy number.

It is not a de Polignac number, because 4995 - 2¹ = 4993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1620) is a multiple of the sum of its prime divisors (45).

It is not an unprimeable number, because it can be changed into a prime (4993) 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, 117 + ... + 153.

It is an arithmetic number, because the mean of its divisors is an integer number (570).

2⁴⁹⁹⁵ is an apocalyptic number.

4995 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4995 is the 45-th heptagonal number.

4995 is a deficient number, since it is larger than the sum of its proper divisors (4125).

4995 is a wasteful number, since it uses less digits than its factorization.

4995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 45 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 4995 is about 70.6753139363. The cubic root of 4995 is about 17.0940576459.

Subtracting from 4995 its product of digits (1620), we obtain a cube (3375 = 15³).

Subtracting 4995 from its reverse (5994), we obtain a palindrome (999).

It can be divided in two parts, 49 and 95, that added together give a square (144 = 12²).

The spelling of 4995 in words is "four thousand, nine hundred ninety-five".