33644 has 12 divisors (see below), whose sum is σ = 63504. Its totient is φ = 15504.

The previous prime is 33641. The next prime is 33647. The reversal of 33644 is 44633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33641) and next prime (33647).

It is a super-2 number, since 2×33644² = 2263837472, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33644.

It is not an unprimeable number, because it can be changed into a prime (33641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 272 + ... + 375.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2³³⁶⁴⁴ is an apocalyptic number.

It is an amenable number.

33644 is a deficient number, since it is larger than the sum of its proper divisors (29860).

33644 is a wasteful number, since it uses less digits than its factorization.

33644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 662 counting only the distinct ones).

The product of its digits is 864, while the sum is 20.

The square root of 33644 is about 183.4230083714. The cubic root of 33644 is about 32.2826522647.

It can be divided in two parts, 3364 and 4, that multiplied together give a square (13456 = 116²).

The spelling of 33644 in words is "thirty-three thousand, six hundred forty-four".