33950 has 24 divisors (see below), whose sum is σ = 72912. Its totient is φ = 11520.

The previous prime is 33941. The next prime is 33961. The reversal of 33950 is 5933.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 302 + ... + 398.

It is an arithmetic number, because the mean of its divisors is an integer number (3038).

2³³⁹⁵⁰ is an apocalyptic number.

33950 is an abundant number, since it is smaller than the sum of its proper divisors (38962).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36456).

33950 is a wasteful number, since it uses less digits than its factorization.

33950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 33950 is about 184.2552577269. The cubic root of 33950 is about 32.3802297719.

Subtracting from 33950 its sum of digits (20), we obtain a triangular number (33930 = T₂₆₀).

The spelling of 33950 in words is "thirty-three thousand, nine hundred fifty".