33949 has 4 divisors (see below), whose sum is σ = 35964. Its totient is φ = 31936.

The previous prime is 33941. The next prime is 33961. The reversal of 33949 is 94933.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11449 + 22500 = 107^2 + 150^2 .

It is a cyclic number.

It is not a de Polignac number, because 33949 - 2³ = 33941 is a prime.

It is a Duffinian number.

33949 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33941) 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, 982 + ... + 1015.

It is an arithmetic number, because the mean of its divisors is an integer number (8991).

2³³⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

33949 is a deficient number, since it is larger than the sum of its proper divisors (2015).

33949 is a wasteful number, since it uses less digits than its factorization.

33949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014.

The product of its digits is 2916, while the sum is 28.

The square root of 33949 is about 184.2525440801. The cubic root of 33949 is about 32.3799118480.

It can be divided in two parts, 3394 and 9, that added together give a triangular number (3403 = T₈₂).

The spelling of 33949 in words is "thirty-three thousand, nine hundred forty-nine".