32633 has 2 divisors, whose sum is σ = 32634. Its totient is φ = 32632.

The previous prime is 32621. The next prime is 32647. The reversal of 32633 is 33623.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29929 + 2704 = 173^2 + 52^2 .

It is an emirp because it is prime and its reverse (33623) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 32633 - 2⁶ = 32569 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a plaindrome in base 11.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32603) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16316 + 16317.

It is an arithmetic number, because the mean of its divisors is an integer number (16317).

2³²⁶³³ is an apocalyptic number.

It is an amenable number.

32633 is a deficient number, since it is larger than the sum of its proper divisors (1).

32633 is an equidigital number, since it uses as much as digits as its factorization.

32633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 324, while the sum is 17.

The square root of 32633 is about 180.6460627858. The cubic root of 32633 is about 31.9559941993.

Subtracting 32633 from its reverse (33623), we obtain a triangular number (990 = T₄₄).

The spelling of 32633 in words is "thirty-two thousand, six hundred thirty-three".