1827 has 12 divisors (see below), whose sum is σ = 3120. Its totient is φ = 1008.

The previous prime is 1823. The next prime is 1831. The reversal of 1827 is 7281.

It can be divided in two parts, 18 and 27, that added together give a triangular number (45 = T_{9}).

1827 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (1823) and next prime (1831).

It is not a de Polignac number, because 1827 - 2^{2} = 1823 is a prime.

1827 is a modest number, since divided by 27 gives 18 as remainder.

1827 is a lucky number.

It is a nialpdrome in base 7 and base 13.

It is not an unprimeable number, because it can be changed into a prime (1823) 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, 49 + ... + 77.

It is an arithmetic number, because the mean of its divisors is an integer number (260).

1827 is a Friedman number, since it can be written as 87*21, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 21 ⋅ 87 (with its own digits).

2^{1827} is an apocalyptic number.

1827 is a deficient number, since it is larger than the sum of its proper divisors (1293).

1827 is a wasteful number, since it uses less digits than its factorization.

1827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 39 counting only the distinct ones).

The product of its digits is 112, while the sum is 18.

The square root of 1827 is about 42.7434205463. The cubic root of 1827 is about 12.2249244102.

The spelling of 1827 in words is "one thousand, eight hundred twenty-seven".

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