33814225 has 9 divisors (see below), whose sum is σ = 41965723. Its totient is φ = 27028120.

The previous prime is 33814219. The next prime is 33814229. The reversal of 33814225 is 52241833.

The square root of 33814225 is 5815.

It is a perfect power (a square), and thus also a powerful number.

33814225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12173121 + 21641104 = 3489^2 + 4652^2 .

It is not a de Polignac number, because 33814225 - 2¹³ = 33806033 is a prime.

It is a super-2 number, since 2×33814225² = 2286803624701250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33814193 and 33814202.

It is not an unprimeable number, because it can be changed into a prime (33814229) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 28494 + ... + 29656.

Almost surely, 2^33814225 is an apocalyptic number.

33814225 is the 5815-th square number.

33814225 is the 2908-th centered octagonal number.

It is an amenable number.

33814225 is a deficient number, since it is larger than the sum of its proper divisors (8151498).

33814225 is an frugal number, since it uses more digits than its factorization.

33814225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 1168 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The cubic root of 33814225 is about 323.3700640834.

The spelling of 33814225 in words is "thirty-three million, eight hundred fourteen thousand, two hundred twenty-five".