1000825 has 36 divisors (see below), whose sum is σ = 1554960. Its totient is φ = 635040.

The previous prime is 1000793. The next prime is 1000829. The reversal of 1000825 is 5280001.

It is a happy number.

It is not a de Polignac number, because 1000825 - 2⁵ = 1000793 is a prime.

1000825 is a modest number, since divided by 825 gives 100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1000799 and 1000808.

It is not an unprimeable number, because it can be changed into a prime (1000829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23254 + ... + 23296.

2^1000825 is an apocalyptic number.

1000825 is the 817-th pentagonal number.

It is an amenable number.

1000825 is a deficient number, since it is larger than the sum of its proper divisors (554135).

1000825 is a wasteful number, since it uses less digits than its factorization.

1000825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1000825 is about 1000.4124149570. The cubic root of 1000825 is about 100.0274924410.

Adding to 1000825 its reverse (5280001), we get a palindrome (6280826).

The spelling of 1000825 in words is "one million, eight hundred twenty-five", and thus it is an aban number.