1830 has 16 divisors (see below), whose sum is σ = 4464. Its totient is φ = 480.

The previous prime is 1823. The next prime is 1831. The reversal of 1830 is 381.

Added to its reverse (381) it gives a triangular number (2211 = T₆₆).

1830 is nontrivially palindromic in base 13.

1830 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

1830 is a nontrivial binomial coefficient, being equal to C(61, 2).

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

1830 is an undulating number in base 11.

1830 is strictly pandigital in base 5.

1830 is a nontrivial repdigit in base 13.

It is a plaindrome in base 8 and base 13.

It is a nialpdrome in base 13 and base 15.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1831) by changing a digit.

1830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 60.

It is an arithmetic number, because the mean of its divisors is an integer number (279).

1830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1830 is the 60-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232).

1830 is an abundant number, since it is smaller than the sum of its proper divisors (2634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1830 is a wasteful number, since it uses less digits than its factorization.

1830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1830 is about 42.7784992724. The cubic root of 1830 is about 12.2316120069.

Adding to 1830 its reverse (381), we get a triangular number (2211 = T₆₆).

The spelling of 1830 in words is "one thousand, eight hundred thirty".