1810 has 8 divisors (see below), whose sum is σ = 3276. Its totient is φ = 720.

The previous prime is 1801. The next prime is 1811. The reversal of 1810 is 181.

It can be written as a sum of positive squares in 2 ways, for example, as 1521 + 289 = 39^2 + 17^2 .

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

It is a super-2 number, since 2×1810² = 6552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 181 = 1810 / (1 + 8 + 1 + 0).

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (1811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81 + ... + 100.

1810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1810 is a deficient number, since it is larger than the sum of its proper divisors (1466).

1810 is a wasteful number, since it uses less digits than its factorization.

1810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1810 is about 42.5440947724. The cubic root of 1810 is about 12.1868890774.

1810 divided by its sum of digits (10) gives a palindrome (181).

Adding to 1810 its reverse (181), we get a palindrome (1991).

It can be divided in two parts, 18 and 10, that added together give a triangular number (28 = T₇).

The spelling of 1810 in words is "one thousand, eight hundred ten".