33634 has 8 divisors (see below), whose sum is σ = 51408. Its totient is φ = 16500.

The previous prime is 33629. The next prime is 33637. The reversal of 33634 is 43633.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×33634² = 2262491912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (6426).

2³³⁶³⁴ is an apocalyptic number.

33634 is a deficient number, since it is larger than the sum of its proper divisors (17774).

33634 is a wasteful number, since it uses less digits than its factorization.

33634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320.

The product of its digits is 648, while the sum is 19.

The square root of 33634 is about 183.3957469518. The cubic root of 33634 is about 32.2794534921.

Subtracting 33634 from its reverse (43633), we obtain a palindrome (9999).

The spelling of 33634 in words is "thirty-three thousand, six hundred thirty-four".