1835 has 4 divisors (see below), whose sum is σ = 2208. Its totient is φ = 1464.

The previous prime is 1831. The next prime is 1847. The reversal of 1835 is 5381.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1835 - 2² = 1831 is a prime.

It is a Duffinian number.

It is a plaindrome in base 6 and base 9.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (1831) 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 3 ways as a sum of consecutive naturals, for example, 179 + ... + 188.

It is an arithmetic number, because the mean of its divisors is an integer number (552).

1835 is a deficient number, since it is larger than the sum of its proper divisors (373).

1835 is an equidigital number, since it uses as much as digits as its factorization.

1835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372.

The product of its digits is 120, while the sum is 17.

The square root of 1835 is about 42.8368999812. The cubic root of 1835 is about 12.2427417783.

It can be divided in two parts, 18 and 35, that multiplied together give a triangular number (630 = T₃₅).

The spelling of 1835 in words is "one thousand, eight hundred thirty-five".