33625 has 8 divisors (see below), whose sum is σ = 42120. Its totient is φ = 26800.

The previous prime is 33623. The next prime is 33629. The reversal of 33625 is 52633.

It can be written as a sum of positive squares in 4 ways, for example, as 7056 + 26569 = 84^2 + 163^2 .

It is not a de Polignac number, because 33625 - 2¹ = 33623 is a prime.

It is a super-2 number, since 2×33625² = 2261281250, which contains 22 as substring.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (33623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2³³⁶²⁵ is an apocalyptic number.

It is an amenable number.

33625 is a deficient number, since it is larger than the sum of its proper divisors (8495).

33625 is an equidigital number, since it uses as much as digits as its factorization.

33625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 274 counting only the distinct ones).

The product of its digits is 540, while the sum is 19.

The square root of 33625 is about 183.3712082089. The cubic root of 33625 is about 32.2765740547.

It can be divided in two parts, 336 and 25, that added together give a square (361 = 19²).

The spelling of 33625 in words is "thirty-three thousand, six hundred twenty-five".