33956 has 12 divisors (see below), whose sum is σ = 64092. Its totient is φ = 15648.

The previous prime is 33941. The next prime is 33961. The reversal of 33956 is 65933.

It can be written as a sum of positive squares in 2 ways, for example, as 6400 + 27556 = 80^2 + 166^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a plaindrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (5341).

2³³⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

33956 is a deficient number, since it is larger than the sum of its proper divisors (30136).

33956 is a wasteful number, since it uses less digits than its factorization.

33956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its digits is 2430, while the sum is 26.

The square root of 33956 is about 184.2715387682. The cubic root of 33956 is about 32.3821371841.

Subtracting from 33956 its sum of digits (26), we obtain a triangular number (33930 = T₂₆₀).

It can be divided in two parts, 33 and 956, that added together give a palindrome (989).

The spelling of 33956 in words is "thirty-three thousand, nine hundred fifty-six".