15795 has 24 divisors (see below), whose sum is σ = 30576. Its totient is φ = 7776.

The previous prime is 15791. The next prime is 15797. The reversal of 15795 is 59751.

15795 is nontrivially palindromic in base 8.

It is not a de Polignac number, because 15795 - 2² = 15791 is a prime.

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

Its product of digits (1575) is a multiple of the sum of its prime divisors (21).

It is not an unprimeable number, because it can be changed into a prime (15791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209 + ... + 1221.

It is an arithmetic number, because the mean of its divisors is an integer number (1274).

15795 is a Friedman number, since it can be written as 1755*9, using all its digits and the basic arithmetic operations.

2¹⁵⁷⁹⁵ is an apocalyptic number.

15795 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15795 is a deficient number, since it is larger than the sum of its proper divisors (14781).

15795 is an equidigital number, since it uses as much as digits as its factorization.

15795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 21 counting only the distinct ones).

The product of its digits is 1575, while the sum is 27.

The square root of 15795 is about 125.6781603939. The cubic root of 15795 is about 25.0903398221.

15795 divided by its sum of digits (27) gives a palindrome (585).

Subtracting 15795 from its reverse (59751), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 157 and 95, that added together give a palindrome (252).

The spelling of 15795 in words is "fifteen thousand, seven hundred ninety-five".