1005825 has 12 divisors (see below), whose sum is σ = 1663088. Its totient is φ = 536400.

The previous prime is 1005821. The next prime is 1005827. The reversal of 1005825 is 5285001.

It is not a de Polignac number, because 1005825 - 2² = 1005821 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6631 + ... + 6780.

2^1005825 is an apocalyptic number.

1005825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1005825 is a deficient number, since it is larger than the sum of its proper divisors (657263).

1005825 is a wasteful number, since it uses less digits than its factorization.

1005825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13424 (or 13419 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1005825 is about 1002.9082709800. The cubic root of 1005825 is about 100.1937908750.

It can be divided in two parts, 1005 and 825, that added together give a triangular number (1830 = T₆₀).

The spelling of 1005825 in words is "one million, five thousand, eight hundred twenty-five".