1827945 has 36 divisors (see below), whose sum is σ = 3690180. Its totient is φ = 834624.

The previous prime is 1827937. The next prime is 1827949. The reversal of 1827945 is 5497281.

It can be written as a sum of positive squares in 2 ways, for example, as 853776 + 974169 = 924^2 + 987^2 .

It is not a de Polignac number, because 1827945 - 2³ = 1827937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1827949) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1791 + ... + 2619.

It is an arithmetic number, because the mean of its divisors is an integer number (102505).

2^1827945 is an apocalyptic number.

1827945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1827945 is an abundant number, since it is smaller than the sum of its proper divisors (1862235).

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

1827945 is a wasteful number, since it uses less digits than its factorization.

1827945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1827945 is about 1352.0151626369. The cubic root of 1827945 is about 122.2703179247.

It can be divided in two parts, 1827 and 945, that added together give a palindrome (2772).

The spelling of 1827945 in words is "one million, eight hundred twenty-seven thousand, nine hundred forty-five".