1827819009 has 9 divisors (see below), whose sum is σ = 2640368289. Its totient is φ = 1218460500.

The previous prime is 1827819001. The next prime is 1827819011. The reversal of 1827819009 is 9009187281.

The square root of 1827819009 is 42753.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1827819009 - 2³ = 1827819001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1827819001) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 121134 + ... + 135384.

Almost surely, 2^1827819009 is an apocalyptic number.

1827819009 is the 42753-rd square number.

1827819009 is the 21377-th centered octagonal number.

It is an amenable number.

1827819009 is a deficient number, since it is larger than the sum of its proper divisors (812549280).

1827819009 is an frugal number, since it uses more digits than its factorization.

1827819009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28508 (or 14254 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The cubic root of 1827819009 is about 1222.6750870208.

It can be divided in two parts, 1827 and 819009, that added together give a square (820836 = 906²).

The spelling of 1827819009 in words is "one billion, eight hundred twenty-seven million, eight hundred nineteen thousand, nine".