13633 has 2 divisors, whose sum is σ = 13634. Its totient is φ = 13632.

The previous prime is 13627. The next prime is 13649. The reversal of 13633 is 33631.

It is an a-pointer prime, because the next prime (13649) can be obtained adding 13633 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12544 + 1089 = 112^2 + 33^2 .

It is a cyclic number.

It is not a de Polignac number, because 13633 - 2⁹ = 13121 is a prime.

It is an Ulam number.

13633 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (13613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6816 + 6817.

It is an arithmetic number, because the mean of its divisors is an integer number (6817).

2¹³⁶³³ is an apocalyptic number.

It is an amenable number.

13633 is a deficient number, since it is larger than the sum of its proper divisors (1).

13633 is an equidigital number, since it uses as much as digits as its factorization.

13633 is an evil number, because the sum of its binary digits is even.

The product of its digits is 162, while the sum is 16.

The square root of 13633 is about 116.7604385055. The cubic root of 13633 is about 23.8889545899. Note that the first 3 decimals are identical.

It can be divided in two parts, 136 and 33, that added together give a square (169 = 13²).

The spelling of 13633 in words is "thirteen thousand, six hundred thirty-three".