1891125 has 36 divisors (see below), whose sum is σ = 3494244. Its totient is φ = 984000.

The previous prime is 1891111. The next prime is 1891133. The reversal of 1891125 is 5211981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 1602756 + 288369 = 1266^2 + 537^2 .

It is not a de Polignac number, because 1891125 - 2⁷ = 1890997 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46105 + ... + 46145.

2^1891125 is an apocalyptic number.

1891125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1891125 is a deficient number, since it is larger than the sum of its proper divisors (1603119).

1891125 is an equidigital number, since it uses as much as digits as its factorization.

1891125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 49 counting only the distinct ones).

The product of its digits is 720, while the sum is 27.

The square root of 1891125 is about 1375.1818061624. The cubic root of 1891125 is about 123.6630855886.

Multiplying 1891125 by its product of digits (720), we get a square (1361610000 = 36900²).

It can be divided in two parts, 1891 and 125, that added together give a triangular number (2016 = T₆₃).

The spelling of 1891125 in words is "one million, eight hundred ninety-one thousand, one hundred twenty-five".