1085825 has 18 divisors (see below), whose sum is σ = 1463634. Its totient is φ = 798720.

The previous prime is 1085813. The next prime is 1085827. The reversal of 1085825 is 5285801.

1085825 is nontrivially palindromic in base 4.

It can be written as a sum of positive squares in 9 ways, for example, as 341056 + 744769 = 584^2 + 863^2 .

It is not a de Polignac number, because 1085825 - 2⁴ = 1085809 is a prime.

It is a Duffinian number.

It is a plaindrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085827) 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, 4097 + ... + 4353.

It is an arithmetic number, because the mean of its divisors is an integer number (81313).

2^1085825 is an apocalyptic number.

It is an amenable number.

1085825 is a deficient number, since it is larger than the sum of its proper divisors (377809).

1085825 is a wasteful number, since it uses less digits than its factorization.

1085825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 1085825 is about 1042.0292702223. The cubic root of 1085825 is about 102.7826819076.

The spelling of 1085825 in words is "one million, eighty-five thousand, eight hundred twenty-five".