65633 has 2 divisors, whose sum is σ = 65634. Its totient is φ = 65632.

The previous prime is 65629. The next prime is 65647. The reversal of 65633 is 33656.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61009 + 4624 = 247^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 65633 - 2² = 65629 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 65599 and 65608.

It is not a weakly prime, because it can be changed into another prime (65033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32816 + 32817.

It is an arithmetic number, because the mean of its divisors is an integer number (32817).

2⁶⁵⁶³³ is an apocalyptic number.

It is an amenable number.

65633 is a deficient number, since it is larger than the sum of its proper divisors (1).

65633 is an equidigital number, since it uses as much as digits as its factorization.

65633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1620, while the sum is 23.

The square root of 65633 is about 256.1893830743. The cubic root of 65633 is about 40.3373551226.

Adding to 65633 its sum of digits (23), we get a palindrome (65656).

The spelling of 65633 in words is "sixty-five thousand, six hundred thirty-three".