13785 has 8 divisors (see below), whose sum is σ = 22080. Its totient is φ = 7344.

The previous prime is 13781. The next prime is 13789. The reversal of 13785 is 58731.

It is an interprime number because it is at equal distance from previous prime (13781) and next prime (13789).

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

It is not a de Polignac number, because 13785 - 2² = 13781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13781) 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, 445 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (2760).

2¹³⁷⁸⁵ is an apocalyptic number.

13785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13785 is a deficient number, since it is larger than the sum of its proper divisors (8295).

13785 is an equidigital number, since it uses as much as digits as its factorization.

13785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927.

The product of its digits is 840, while the sum is 24.

The square root of 13785 is about 117.4095396465. The cubic root of 13785 is about 23.9774092981.

It can be divided in two parts, 137 and 85, that added together give a palindrome (222).

The spelling of 13785 in words is "thirteen thousand, seven hundred eighty-five".