1002825 has 18 divisors (see below), whose sum is σ = 1796574. Its totient is φ = 534720.

The previous prime is 1002821. The next prime is 1002851. The reversal of 1002825 is 5282001.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 881721 = 348^2 + 939^2 .

It is not a de Polignac number, because 1002825 - 2² = 1002821 is a prime.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 1002798 and 1002807.

It is not an unprimeable number, because it can be changed into a prime (1002821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2004 + ... + 2453.

2^1002825 is an apocalyptic number.

1002825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1002825 is a deficient number, since it is larger than the sum of its proper divisors (793749).

1002825 is a wasteful number, since it uses less digits than its factorization.

1002825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4473 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1002825 is about 1001.4115038285. The cubic root of 1002825 is about 100.0940781320.

Adding to 1002825 its reverse (5282001), we get a palindrome (6284826).

The spelling of 1002825 in words is "one million, two thousand, eight hundred twenty-five".