1095 has 8 divisors (see below), whose sum is σ = 1776. Its totient is φ = 576.

The previous prime is 1093. The next prime is 1097. The reversal of 1095 is 5901.

It is an interprime number because it is at equal distance from previous prime (1093) and next prime (1097).

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

It is not a de Polignac number, because 1095 - 2¹ = 1093 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: 73 = 1095 / (1 + 0 + 9 + 5).

1095 is a lucky number.

It is a plaindrome in base 9 and base 16.

It is a nialpdrome in base 12 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 51.

It is an arithmetic number, because the mean of its divisors is an integer number (222).

1095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1095 is a deficient number, since it is larger than the sum of its proper divisors (681).

1095 is an equidigital number, since it uses as much as digits as its factorization.

1095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 1095 is about 33.0907842155. The cubic root of 1095 is about 10.3071367888.

Adding to 1095 its reverse (5901), we get a palindrome (6996).

It can be divided in two parts, 109 and 5, that multiplied together give a palindrome (545).

The spelling of 1095 in words is "one thousand, ninety-five".