1783125 has 30 divisors (see below), whose sum is σ = 3228654. Its totient is φ = 948000.

The previous prime is 1783099. The next prime is 1783129. The reversal of 1783125 is 5213871.

It can be written as a sum of positive squares in 5 ways, for example, as 1179396 + 603729 = 1086^2 + 777^2 .

It is not a de Polignac number, because 1783125 - 2⁷ = 1782997 is a prime.

1783125 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1783129) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5467 + ... + 5783.

2^1783125 is an apocalyptic number.

1783125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1783125 is a deficient number, since it is larger than the sum of its proper divisors (1445529).

1783125 is an equidigital number, since it uses as much as digits as its factorization.

1783125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 1783125 is about 1335.3370361074. The cubic root of 1783125 is about 121.2627081306.

Adding to 1783125 its reverse (5213871), we get a palindrome (6996996).

It can be divided in two parts, 1 and 783125, that added together give a triangular number (783126 = T₁₂₅₁).

The spelling of 1783125 in words is "one million, seven hundred eighty-three thousand, one hundred twenty-five".