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1000825 = 52721943
BaseRepresentation
bin11110100010101111001
31212211212121
43310111321
5224011300
633241241
711335600
oct3642571
91784777
101000825
11623a31
12403221
13290707
141c0a37
1514b81a
hexf4579

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.

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

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.

21000825 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.

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

Divisors: 1 5 7 19 25 35 43 49 95 133 175 215 245 301 475 665 817 931 1075 1225 1505 2107 3325 4085 4655 5719 7525 10535 20425 23275 28595 40033 52675 142975 200165 1000825