1789125 has 32 divisors (see below), whose sum is σ = 3214848. Its totient is φ = 878400.

The previous prime is 1789093. The next prime is 1789153. The reversal of 1789125 is 5219871.

It is not a de Polignac number, because 1789125 - 2⁵ = 1789093 is a prime.

1789125 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4692 + ... + 5058.

It is an arithmetic number, because the mean of its divisors is an integer number (100464).

2^1789125 is an apocalyptic number.

1789125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1789125 is a deficient number, since it is larger than the sum of its proper divisors (1425723).

1789125 is a wasteful number, since it uses less digits than its factorization.

1789125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its digits is 5040, while the sum is 33.

The square root of 1789125 is about 1337.5817732012. The cubic root of 1789125 is about 121.3985673108.

The spelling of 1789125 in words is "one million, seven hundred eighty-nine thousand, one hundred twenty-five".