33629 has 2 divisors, whose sum is σ = 33630. Its totient is φ = 33628.

The previous prime is 33623. The next prime is 33637. The reversal of 33629 is 92633.

It is a happy number.

33629 is nontrivially palindromic in base 9.

33629 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24025 + 9604 = 155^2 + 98^2 .

It is a cyclic number.

It is not a de Polignac number, because 33629 - 2⁴ = 33613 is a prime.

It is a super-2 number, since 2×33629² = 2261819282, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16814 + 16815.

It is an arithmetic number, because the mean of its divisors is an integer number (16815).

2³³⁶²⁹ is an apocalyptic number.

It is an amenable number.

33629 is a deficient number, since it is larger than the sum of its proper divisors (1).

33629 is an equidigital number, since it uses as much as digits as its factorization.

33629 is an evil number, because the sum of its binary digits is even.

The product of its digits is 972, while the sum is 23.

The square root of 33629 is about 183.3821147222. The cubic root of 33629 is about 32.2778538681.

The spelling of 33629 in words is "thirty-three thousand, six hundred twenty-nine".