33106225 has 24 divisors (see below), whose sum is σ = 44213688. Its totient is φ = 24499200.

The previous prime is 33106217. The next prime is 33106253. The reversal of 33106225 is 52260133.

It can be written as a sum of positive squares in 12 ways, for example, as 10837264 + 22268961 = 3292^2 + 4719^2 .

It is not a de Polignac number, because 33106225 - 2³ = 33106217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33106196 and 33106205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25287 + ... + 26563.

It is an arithmetic number, because the mean of its divisors is an integer number (1842237).

Almost surely, 2^33106225 is an apocalyptic number.

It is an amenable number.

33106225 is a deficient number, since it is larger than the sum of its proper divisors (11107463).

33106225 is a wasteful number, since it uses less digits than its factorization.

33106225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 33106225 is about 5753.8009176543. The cubic root of 33106225 is about 321.0972263335.

Adding to 33106225 its reverse (52260133), we get a palindrome (85366358).

The spelling of 33106225 in words is "thirty-three million, one hundred six thousand, two hundred twenty-five".