1033825 has 12 divisors (see below), whose sum is σ = 1380988. Its totient is φ = 763200.

The previous prime is 1033807. The next prime is 1033829. The reversal of 1033825 is 5283301.

It can be written as a sum of positive squares in 6 ways, for example, as 321489 + 712336 = 567^2 + 844^2 .

It is not a de Polignac number, because 1033825 - 2⁵ = 1033793 is a prime.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 1033796 and 1033805.

It is not an unprimeable number, because it can be changed into a prime (1033829) 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, 1266 + ... + 1915.

2^1033825 is an apocalyptic number.

It is an amenable number.

1033825 is a deficient number, since it is larger than the sum of its proper divisors (347163).

1033825 is a wasteful number, since it uses less digits than its factorization.

1033825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1033825 is about 1016.7718524822. The cubic root of 1033825 is about 101.1150210710.

The spelling of 1033825 in words is "one million, thirty-three thousand, eight hundred twenty-five".