1128825 has 36 divisors (see below), whose sum is σ = 2103660. Its totient is φ = 577920.

The previous prime is 1128823. The next prime is 1128889. The reversal of 1128825 is 5288211.

1128825 = 110² + 111² + ... + 167².

It can be written as a sum of positive squares in 6 ways, for example, as 13689 + 1115136 = 117^2 + 1056^2 .

It is not a de Polignac number, because 1128825 - 2¹ = 1128823 is a prime.

1128825 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1128821) 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 35 ways as a sum of consecutive naturals, for example, 6439 + ... + 6611.

It is an arithmetic number, because the mean of its divisors is an integer number (58435).

2^1128825 is an apocalyptic number.

1128825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1128825 is a deficient number, since it is larger than the sum of its proper divisors (974835).

1128825 is a wasteful number, since it uses less digits than its factorization.

1128825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 1128825 is about 1062.4617640179. The cubic root of 1128825 is about 104.1219292334.

It can be divided in two parts, 1128 and 825, that added together give a triangular number (1953 = T₆₂).

The spelling of 1128825 in words is "one million, one hundred twenty-eight thousand, eight hundred twenty-five".