33649 has 16 divisors (see below), whose sum is σ = 46080. Its totient is φ = 23760.

The previous prime is 33647. The next prime is 33679. The reversal of 33649 is 94633.

33649 is a nontrivial binomial coefficient, being equal to C(23, 5).

It is not a de Polignac number, because 33649 - 2¹ = 33647 is a prime.

It is a super-2 number, since 2×33649² = 2264510402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1452 + ... + 1474.

It is an arithmetic number, because the mean of its divisors is an integer number (2880).

2³³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

33649 is a deficient number, since it is larger than the sum of its proper divisors (12431).

33649 is a wasteful number, since it uses less digits than its factorization.

33649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60.

The product of its digits is 1944, while the sum is 25.

The square root of 33649 is about 183.4366375619. The cubic root of 33649 is about 32.2842514133.

It can be divided in two parts, 3364 and 9, that multiplied together give a square (30276 = 174²).

The spelling of 33649 in words is "thirty-three thousand, six hundred forty-nine".