33225 has 12 divisors (see below), whose sum is σ = 55056. Its totient is φ = 17680.

The previous prime is 33223. The next prime is 33247. The reversal of 33225 is 52233.

It is not a de Polignac number, because 33225 - 2¹ = 33223 is a prime.

It is a super-2 number, since 2×33225² = 2207801250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a d-powerful number, because it can be written as 3⁴ + 3⁵ + 2⁷ + 2¹⁵ + 5 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33225.

It is not an unprimeable number, because it can be changed into a prime (33223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147 + ... + 296.

It is an arithmetic number, because the mean of its divisors is an integer number (4588).

2³³²²⁵ is an apocalyptic number.

It is an amenable number.

33225 is a deficient number, since it is larger than the sum of its proper divisors (21831).

33225 is a wasteful number, since it uses less digits than its factorization.

33225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 451 counting only the distinct ones).

The product of its digits is 180, while the sum is 15.

The square root of 33225 is about 182.2772613356. The cubic root of 33225 is about 32.1480767538.

Adding to 33225 its reverse (52233), we get a palindrome (85458).

The spelling of 33225 in words is "thirty-three thousand, two hundred twenty-five".