1083825 has 18 divisors (see below), whose sum is σ = 1941654. Its totient is φ = 577920.

The previous prime is 1083809. The next prime is 1083827. The reversal of 1083825 is 5283801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 1083681 = 12^2 + 1041^2 .

It is not a de Polignac number, because 1083825 - 2⁴ = 1083809 is a prime.

1083825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1083827) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2184 + ... + 2633.

2^1083825 is an apocalyptic number.

1083825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1083825 is a deficient number, since it is larger than the sum of its proper divisors (857829).

1083825 is a wasteful number, since it uses less digits than its factorization.

1083825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4825 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1083825 is about 1041.0691619676. The cubic root of 1083825 is about 102.7195373847.

The spelling of 1083825 in words is "one million, eighty-three thousand, eight hundred twenty-five".