11835 has 12 divisors (see below), whose sum is σ = 20592. Its totient is φ = 6288.

The previous prime is 11833. The next prime is 11839. The reversal of 11835 is 53811.

It is a happy number.

It is not a de Polignac number, because 11835 - 2¹ = 11833 is a prime.

11835 is a lucky number.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (11831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87 + ... + 176.

It is an arithmetic number, because the mean of its divisors is an integer number (1716).

2¹¹⁸³⁵ is an apocalyptic number.

11835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11835 is a deficient number, since it is larger than the sum of its proper divisors (8757).

11835 is a wasteful number, since it uses less digits than its factorization.

11835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 271 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 11835 is about 108.7887861868. The cubic root of 11835 is about 22.7888680653.

It can be divided in two parts, 118 and 35, that added together give a triangular number (153 = T₁₇).

The spelling of 11835 in words is "eleven thousand, eight hundred thirty-five".