1006825 has 24 divisors (see below), whose sum is σ = 1392768. Its totient is φ = 718080.

The previous prime is 1006799. The next prime is 1006847. The reversal of 1006825 is 5286001.

It is a happy number.

It is not a de Polignac number, because 1006825 - 2¹³ = 998633 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006796 and 1006805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9724 + ... + 9826.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

2^1006825 is an apocalyptic number.

It is an amenable number.

1006825 is a deficient number, since it is larger than the sum of its proper divisors (385943).

1006825 is a wasteful number, since it uses less digits than its factorization.

1006825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1006825 is about 1003.4066972071. The cubic root of 1006825 is about 100.2269843910.

The spelling of 1006825 in words is "one million, six thousand, eight hundred twenty-five".