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BaseRepresentation
bin10011000011
31200011
4103003
514334
65351
73361
oct2303
91604
101219
11a09
12857
1372a
14631
15564
hex4c3

1219 has 4 divisors (see below), whose sum is σ = 1296. Its totient is φ = 1144.

The previous prime is 1217. The next prime is 1223. The reversal of 1219 is 9121.

1219 = T27 + T28 + T29.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 9121 = 71303.

It is a cyclic number.

It is not a de Polignac number, because 1219 - 21 = 1217 is a prime.

It is a super-2 number, since 2×12192 = 2971922, which contains 22 as substring.

It is a Smith number, since the sum of its digits (13) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

1219 is a lucky number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 1199 and 1208.

It is not an unprimeable number, because it can be changed into a prime (1213) 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, 4 + ... + 49.

It is an arithmetic number, because the mean of its divisors is an integer number (324).

21219 is an apocalyptic number.

1219 is the 29-th centered triangular number.

1219 is a deficient number, since it is larger than the sum of its proper divisors (77).

1219 is an equidigital number, since it uses as much as digits as its factorization.

1219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76.

The product of its digits is 18, while the sum is 13.

The square root of 1219 is about 34.9141805002. The cubic root of 1219 is about 10.6823770233.

It can be divided in two parts, 121 and 9, that multiplied together give a square (1089 = 332).

The spelling of 1219 in words is "one thousand, two hundred nineteen".

Divisors: 1 23 53 1219