4095 has 24 divisors (see below), whose sum is σ = 8736. Its totient is φ = 1728.

The previous prime is 4093. The next prime is 4099. The reversal of 4095 is 5904.

Adding to 4095 its reverse (5904), we get a palindrome (9999).

It can be divided in two parts, 409 and 5, that added together give a palindrome (414).

4095 is nontrivially palindromic in base 2, base 4, base 8 and base 16.

It is a Cunningham number, because it is equal to 2^{12}-1.

4095 is a nontrivial binomial coefficient, being equal to C(91, 2).

4095 is an admirable number.

It is not a de Polignac number, because 4095 - 2^{1} = 4093 is a prime.

It is a D-number.

4095 is a lucky number.

4095 is a nontrivial repdigit in base 2, base 4, base 8 and base 16.

It is a plaindrome in base 2, base 4, base 8 and base 16.

It is a nialpdrome in base 2, base 4, base 8, base 9 and base 16.

It is a zygodrome in base 2, base 4, base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4091) by changing a digit.

It is a nontrivial repunit in base 2.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (364).

4095 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4095 is the 90-th triangular number.

4095 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368).

4095 is a wasteful number, since it uses less digits than its factorization.

4095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4095 is about 63.9921870231. The cubic root of 4095 is about 15.9986978107.

The spelling of 4095 in words is "four thousand, ninety-five".

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