1827221000 has 96 divisors (see below), whose sum is σ = 4700044440. Its totient is φ = 664400000.

The previous prime is 1827220933. The next prime is 1827221027. The reversal of 1827221000 is 1227281.

It can be written as a sum of positive squares in 4 ways, for example, as 225780676 + 1601440324 = 15026^2 + 40018^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113450 + ... + 128550.

Almost surely, 2^1827221000 is an apocalyptic number.

1827221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350022220).

1827221000 is an abundant number, since it is smaller than the sum of its proper divisors (2872823440).

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

1827221000 is a wasteful number, since it uses less digits than its factorization.

1827221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15144 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 1827221000 is about 42746.0056613481. The cubic root of 1827221000 is about 1222.5417312826.

Adding to 1827221000 its reverse (1227281), we get a palindrome (1828448281).

The spelling of 1827221000 in words is "one billion, eight hundred twenty-seven million, two hundred twenty-one thousand".