10033825 has 12 divisors (see below), whose sum is σ = 13174380. Its totient is φ = 7554560.

The previous prime is 10033813. The next prime is 10033831. The reversal of 10033825 is 52833001.

It can be written as a sum of positive squares in 6 ways, for example, as 349281 + 9684544 = 591^2 + 3112^2 .

It is not a de Polignac number, because 10033825 - 2²¹ = 7936673 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10033796 and 10033805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11380 + ... + 12229.

It is an arithmetic number, because the mean of its divisors is an integer number (1097865).

Almost surely, 2^10033825 is an apocalyptic number.

It is an amenable number.

10033825 is a deficient number, since it is larger than the sum of its proper divisors (3140555).

10033825 is a wasteful number, since it uses less digits than its factorization.

10033825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23636 (or 23631 counting only the distinct ones).

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

The square root of 10033825 is about 3167.6213473204. The cubic root of 10033825 is about 215.6861081441.

Adding to 10033825 its reverse (52833001), we get a palindrome (62866826).

The spelling of 10033825 in words is "ten million, thirty-three thousand, eight hundred twenty-five".