10795 has 8 divisors (see below), whose sum is σ = 13824. Its totient is φ = 8064.

The previous prime is 10789. The next prime is 10799. The reversal of 10795 is 59701.

10795 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a 7-Lehmer number, since φ(10795) divides (10795-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 10795 - 2⁷ = 10667 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (10799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22 + ... + 148.

It is an arithmetic number, because the mean of its divisors is an integer number (1728).

2¹⁰⁷⁹⁵ is an apocalyptic number.

10795 is the 85-th pentagonal number.

10795 is a deficient number, since it is larger than the sum of its proper divisors (3029).

10795 is a wasteful number, since it uses less digits than its factorization.

10795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 10795 is about 103.8989894080. The cubic root of 10795 is about 22.1007773250.

It can be divided in two parts, 107 and 95, that added together give a palindrome (202).

The spelling of 10795 in words is "ten thousand, seven hundred ninety-five".