33025 has 6 divisors (see below), whose sum is σ = 40982. Its totient is φ = 26400.

The previous prime is 33023. The next prime is 33029. The reversal of 33025 is 52033.

33025 = 128² + 129².

It can be written as a sum of positive squares in 3 ways, for example, as 7744 + 25281 = 88^2 + 159^2 .

It is not a de Polignac number, because 33025 - 2¹ = 33023 is a prime.

It is a d-powerful number, because it can be written as 3² + 3⁵ + 0 + 2¹⁵ + 5 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 32996 and 33014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 636 + ... + 685.

It is a Proth number, since it is equal to 129 ⋅ 2⁸ + 1 and 129 < 2⁸.

2³³⁰²⁵ is an apocalyptic number.

33025 is the 129-th centered square number.

It is an amenable number.

33025 is a deficient number, since it is larger than the sum of its proper divisors (7957).

33025 is a wasteful number, since it uses less digits than its factorization.

33025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 33025 is about 181.7278184539. The cubic root of 33025 is about 32.0834410896.

Adding to 33025 its reverse (52033), we get a palindrome (85058).

The spelling of 33025 in words is "thirty-three thousand, twenty-five".