15765 has 8 divisors (see below), whose sum is σ = 25248. Its totient is φ = 8400.

The previous prime is 15761. The next prime is 15767. The reversal of 15765 is 56751.

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

It is not a de Polignac number, because 15765 - 2² = 15761 is a prime.

It is a Curzon number.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511 + ... + 540.

It is an arithmetic number, because the mean of its divisors is an integer number (3156).

2¹⁵⁷⁶⁵ is an apocalyptic number.

15765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

15765 is a deficient number, since it is larger than the sum of its proper divisors (9483).

15765 is a wasteful number, since it uses less digits than its factorization.

15765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059.

The product of its digits is 1050, while the sum is 24.

The square root of 15765 is about 125.5587511884. The cubic root of 15765 is about 25.0744447657.

It can be divided in two parts, 157 and 65, that added together give a palindrome (222).

The spelling of 15765 in words is "fifteen thousand, seven hundred sixty-five".