1072825 has 12 divisors (see below), whose sum is σ = 1433068. Its totient is φ = 792000.

The previous prime is 1072823. The next prime is 1072829. The reversal of 1072825 is 5282701.

It can be written as a sum of positive squares in 6 ways, for example, as 241081 + 831744 = 491^2 + 912^2 .

It is not a de Polignac number, because 1072825 - 2¹ = 1072823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 1072825.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072823) 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 11 ways as a sum of consecutive naturals, for example, 1326 + ... + 1975.

2^1072825 is an apocalyptic number.

It is an amenable number.

1072825 is a deficient number, since it is larger than the sum of its proper divisors (360243).

1072825 is a wasteful number, since it uses less digits than its factorization.

1072825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1072825 is about 1035.7726584536. The cubic root of 1072825 is about 102.3708466508.

The spelling of 1072825 in words is "one million, seventy-two thousand, eight hundred twenty-five".